Beltre and Chavez played in a different era, looking at raw numbers do not do these players justice.
Looking at these players through age 25:
Beltre - 23.4 bWAR, 17.3 oWAR, 7.8 dWAR, 0 GG
Chavez - 20.2 bWAR, 19.2 oWAR 2.5 dWAR, 3 GGs
Machado - 33.8 bWAR, 25.8 oWAR, 11.3 dWAR, 2 GGs
Like others have said, Beltre was incredibly consistent throughout his career and built one of the best resume for a 3B in the entire history of MLB. Chavez could have had some HOF considerations as well given the good start to his career, but injuries robbed him of his prime and his output quickly tailed off after age 27. Manny has had the best start to his career out of the three, and he's given no reason he's on the trajectory of Chavez. As of now, he is one of the greats of the present players and also one of the great 3Bs through age 25 in the history of the game.