Chick-fil-A will soon be the No. 3 fast-food chain in America, research firm claims

Chick-fil-A is on fire.

The fast-growing chicken-sandwich franchise is poised to become the third-largest fast-food chain in the country next year by sales, replacing Subway, according to Kalinowski Equity Research.

Chick-fil-A would leapfrog past Taco Bell, Burger King and Wendy's, the No. 4, 5 and 6 chains respectively, according to the firm.

The privately held company "has rocketed this year," Mark Kalinowski said. Last year, Chick-fil-A's stores grew by nearly eight percent, to more than 2,100.

Chick-fil-A's sales are expected to grow as much as 15 percent to $10 billion on top of 14.2 percent growth last year, according to Kalinowski.

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