MIAMI  From “Scarface” to “Miami Vice,” Florida’s drug problem has been portrayed as the story of a single narcotic: cocaine. But for Floridians, prescription drugs are increasingly a far more lethal habit.

An analysis of autopsies in 2007 released this week by the Florida Medical Examiners Commission found that the rate of deaths caused by prescription drugs was three times the rate of deaths caused by all illicit drugs combined.

Law enforcement officials said that the shift toward prescription-drug abuse, which began here about eight years ago, showed no sign of letting up and that the state must do more to control it.

“You have health care providers involved, you have doctor shoppers, and then there are crimes like robbing drug shipments,” said Jeff Beasley, a drug intelligence inspector for the Florida Department of Law Enforcement, which co-sponsored the study. “There is a multitude of ways to get these drugs, and that’s what makes things complicated.”