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With 12,402 runs, the 33-year-old Root is 3,519 runs away from breaking Tendulkar's record.
Rehan Ahmed was keeping Pope company with England finishing the third day on 316/6, putting them 126 ahead.
Root also inscribed his name in World Test Championship history by becoming the first batter to breach the 4,000-run mark.
Ben Stokes produced a captain's knock of 70 to help England post at least a competitive total before they wilted early into the final session.
India have an 8-5 advantage over England in Test series wins at home, with three series ending in a stalemate.
England defeated Australia by 3 wickets to make the series 1-2.
The Barmy Army, who have made the Walkabout their official headquarters for the week, were not happy with the news.
England declared at 393/8 after Root hit his first century against Australia after 2015.
The present quartet of top batsmen emerged almost two decades after the retirement of the four great all-rounders.
England have already named their starting 11, giving a Test debut to Liam Livingstone and recalling Ben Duckett to open with Zak Crawley.
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