Here's a story about Waste Management helping out a couple in a similar predicament: http://www.dailymail.co.uk/news/article-2636437/Waste-Management-digs-5-tons-garbage-finds-newlyweds-rings-threw-away.html
Hope you find it.
Sorry to hear about this Eve ... are you 100% sure you threw it out in the trash? about a year ago I was convinced I threw out the only key to my Harley, I was sure I had swept it off the coffee table along with garbage, but then about a year later I found it under the cushion of the couch ... of course not as big of a problem as yours, but unless you are 100% sure that you threw it out, I would do a full search of your home, car, and everywhere you might have left it ...
Best of luck. And I hope you had an homeowner's insurance rider - it replaced my stolen ring with an almost exact duplicate (actually less flaws!).
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I accidentally threw my engagement ring in the garbage. Is there any chance I can get it back? I know the answer but can hope...