Nakamura secured four wins and five draws to stay as the sole leader after nine rounds.
Vidit Gujrathi crashed through the defences of Hans Moke Niemann of the United States to join the leaders' pack on 4.5 points.
In round 3, the Indian defeated German GM Vincent Keymar with the game decided in the rook endgame after Praggnanandhaa managed to win two pawns, following which Keymar resigned.
Grandmaster and former Asian champion S P Sethuraman has knocked out former FIDE champion Ruslan Ponomariov of Ukraine in a big first round upset at the Chess World Cup in Tbilisi, Georgia.
Rameshbabu Praggnanandhaa has charted his own path to glory and is closer to greatness than ever.
A summary of sports events and sports persons, who made news on Saturday
Five-time World champion Viswanathan Anand continued to struggle with his form as he lost to 16-year old International Master Benjamin Gledura of Hungary in the seventh round of the Masters section of Gibraltar International Chess festival
A summary of sports events and sports persons, who made news on Wednesday.
Placed fourth after the first leg on Tuesday, the 48-year-old had a dream run on the final day to secure six wins and three draws in the nine rounds to draw level with the world No 3 American Nakamura to force a play-off.
A summary of sports events and sports persons, who made news on Monday