Bruce Levine first reported the move later confirmed by Fox Sports announced by the teams.
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The Tigers receive pitching prospects Michael Fulmer and Luis Cessa.
Cespedes joins a Mets lineup that ranks last in Major League Baseball in runs scored, and next-to-last in slugging percentage and total bases (with their division-rival Braves looking up from the bottom).
Meanwhile, Cespedes is enjoying his best offensive season, hitting .293/.323/.506 with 18 home runs, 61 RBIs and a 125 OPS+. Adding to his value, Cespedes has yet to miss a game in 2015 and grades out well defensively, in part due to his ability to throw a ball a country mile.
The Mets entered Friday three games back in the NL East standings.