Mattingly came out to the mound accompanied by a translator with two outs in the seventh. Ryu responded by striking out Matt Adams to end the inning as catcher A.J. Ellis pumped his right arm in the air. Fans waved South Korean flags in support of Ryu.
Kenley Jansen pitched a perfect ninth for a save.
Major League Baseball noted on Twitter that the nine combined runs in the series are the fewest ever through three games of a league championship series, according to the Elias Sports Bureau.
After the first two games in St. Louis were decided by one run, the Dodgers got to Wainwright in the fourth and took a 2-0 lead.
Gonzalez's double down the right-field line scored Mark Ellis, who doubled leading off. With two outs, Puig tripled off the wall in right to snap his 0-for-11 skid in the series.
Puig had struck out seven times before getting his first hit against the Cardinals. The excitable rookie raised his arms and watched the ball sail toward right before starting to charge harder when he realized it wasn't going to be a home run. He ran into third base and clapped his hands before raising them again as the sellout crowd of 53,940 cheered.
"He brings unbelievable energy every day," Ramirez said. "When we spoke to him, he told me, 'I got it today,' and he did. He's a great player."
Cardinals center fielder Jon Jay was involved in an apparent miscommunication when the ball hit by Mark Ellis dropped between him and right fielder Carlos Beltran. The Dodgers' first hit, a single by Ramirez to shallow center in the first, dropped between Jay and second baseman Matt Carpenter.
NOTES: Ethier was 0 for 4 with a strikeout. ... Dusty Baker, Reggie Smith, Ron Cey and Steve Garvey — baseball's first 30-homer quartet in 1977 — tossed ceremonial first pitches. That Dodgers team won the NL pennant before losing to the Yankees in six games in the World Series. ... Neither team has hit a home run through the first three games. ... Among the famous faces in attendance were Dustin Hoffman and Ice Cube.
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