Having gone close earlier, Ronaldo opened the scoring eight minutes before half-time with a close-range finish after a cross from Manchester United teammate Diogo Dalot deflected off a Qatar defender.
Ronaldo was substituted at half-time, but Portugal remained in control and added to their lead through Jose Fonte just three minutes after the break.
And just the 90th minute ticked by, Andre Silva headed in a left-wing cross from debutant Rafael Leao to put the seal on a comfortable victory for Fernando Santos' side.
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