Skipper Aaron Finch had no hesitation in batting first on a Kotla wicket that had a tinge of green, which was more to ensure true bounce than anything else. And the opening stand of 76 between him and Khawaja justified his decision.
It finally took a brilliant move from Kohli to send Khawaja (106) back to the hut, but not before he had completed his second century of the series.
It finally took some calculative hitting from Jhye Richardson (29) to take Australia to a competitive total.
Chasing 273 to win the game and with it, the series, India got off to a terrible start with Pat Cummins sending back Shikhar Dhawan (12) in the fifth over of the innings. With the score on 15/1, Virat Kohli joined Rohit at the crease.
Rohit Sharma completed 8000 runs in ODIs for India with his 46th run in the 23rd over of the innings.
Rishabh Pant was promoted to the number four position, and Nathan Lyon ensured that this experiment also failed for India as he walked back for 16.
New number 5 Shankar too flattered to deceive and when Rohit (given a life on 51 and 53 off Zampa's bowling) was stumped by Alex Carey in the 27th over, it looked like the start of the end of the India chase.
Just when it looked like India would scamper home, Bhuvneshwar was sent back by Cummins. With Kedar dismissed off the first ball of the very next over by Richardson, it was curtains.
The series win comes not just at the right time for the Aussies as the World Cup is around the corner, but is also their first series victory in India in six years.