The final match will be played in Darwin on Wednesday.

Martyn, who made 88 not out in Australia's World Cup final win over India in March despite a broken finger, showed on Sunday he was back to full fitness and form.

The 31-year-old stroked the ball effortlessly through the infield on both sides of the wicket, amassing 15 boundaries and one six as Australia cruised to victory with 29.4 overs to spare.

Bangladesh captain Khaled Mahmud won the toss and elected to bat but, after a promising start, the tourists were all out for 147 in 45.1 overs.

Australia in reply lost opener Andrew Symonds for seven to make the score 17 for one before Martyn dominated a 131-run stand for the second wicket with opener Michael Bevan who made 40 not out.

Martyn, who missed the West Indies tour as his fractures healed and made zero not out on Saturday, completed the equal ninth-fastest half-century in one-day internationals off 22 balls.

If his hundred had come in another 10 balls or less it would have been the fourth-fastest in one-day international history.

Earlier, Bangladesh openers Hannan Sarker and Javed Omar got their side off to a good start and the pair put on 37 in 14 overs.

But after they departed in quick succession the Tigers soon slumped to 86-5.

Habibul Bashar contributed 31 before some late hitting from Alok Kapali saw him top-score with 34 and push the score close to 150.