An Instagram spokesperson confirmed to Tech Crunch on Jan 9 that the application is officially gaining a new feature but only if you're an iOS user: "self regramming", which is to say that users can now publish posts to multiple accounts at the same time.
When the feature rolls out, you'll find the option beneath "tag people" when you're about to publish a new pic. If you tap "Post to Other Accounts", you'll be able to select which other profiles you would like the image to be published on and voila! Two or more Instas posted at once.