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With the win, the former world number one will re-enter the top 10 next week at number six.
The first stop on Serena Williams' farewell tour came to a quick end as she fell 6-2 6-4 to Belinda Bencic in second-round action at the Canadian Open.
Wimbledon champion Elena Rybakina and Simona Halep also advanced.
Rybakina, the first Kazakh to enter a Grand Slam final, upset Simona Halep in the second semifinal.
Wimbledon: Rybakina, Halep advance, to meet in semifinals
Men's top seed and defending champion Novak Djokovic, chasing a 21st Grand Slam title after a troubled year, will open his campaign against South Korea's Kwon Soon-woo.
The former world No. 1 and 2018 French Open champion called for the doctor during the third set of her loss to Chinese teenager Zheng Qinwen at the French Open.
The former world No. 1 will be out of action for three weeks.
Swiatek reached her first Indian Wells final after overpowering former champion Simona Halep 7-6(6), 6-4.
Ostapenko outplayed Veronika Kudermetova of Russia 6-0, 6-4 for her fifth career crown.