The English batsmen continued their red-hot form as they overhauled the 310-run target with ease with 32 balls to spare.
The hosts rode on Jason Roy (101 runs off 83 balls), Jonny Bairstow (79 off 66) and Jos Buttler's (54 not out off 29) knock to reach 314/4 in 44.4 overs.
Earlier opting to bat, opener Shaun Marsh's 106-ball 101, Aaron Finch's 92-ball 100 and a 63-run contribution by Travis Head helped the visitors reach a competitive total.
For England, David Willey scalped 4 for 43 off seven overs while Mark Wood and Adil Rashid bagged two wickets each.
Both the sides will clash for one final time in the series at Manchester on Sunday.
Brief Scores: England 314/4 (Jason Roy 101, Jonny Bairstow 79; Ashton Agar 2/48) beat Australia (Shaun Marsh 101, Aaron Finch 100; David Willey 4/43)
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