Brazil, who welcomed playmaker Kaka back from a one-match ban, took the lead after 34 minutes from a straightforward corner routine.
Right-back Maicon crossed for central defender Juan, who rose above the Chilean defense to power his header into the net.
Brazil's second goal, four minutes later, was more characteristically Brazilian in its style and execution.
Robinho carried the ball down the left flank before squaring to Kaka, who cushioned a pass into the path of Luis Fabiano, who rounded the goalkeeper and scored.
The third goal, after 60 minutes, stemmed from a swift counter-attack, with Ramires charging down the center with the ball and passing to Robinho, who curled his finish around the goalkeeper.
On July 2, Brazil will play the Netherlands who sealed a 2-1 win over Slovakia in another knock-out match.
Arjen Robben, starting a game for the first time at the tournament following a hamstring injury, gave his side the lead from the edge of the area after 18 minutes and Wesley Sneijder sealed the victory by slotting home a late second.
Robert Vittek scored a consolation penalty for Slovakia with the last kick of the game, which made him the tournament's joint leading scorer with four goals.
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