Ken
I can not tell from the drawing what the topology really is. It appears that there are 3 routers and 1 switch. Is that correct? It would also help to know if there are VLANs configured.
If I am right that there are 3 routers and 1 switch would it be the case that the routers share a VLAN in the switch (and therefore all 3 router interfaces are in the same subnet)? If so then packets would go from router1 to router2 without needing to go through rouer3.
If I have not understood the topology correctly then perhaps you could clarify it.
[edit: while I was writing my response you changed the drawing and it is now somewhat more clear that there is indeed 3 routers and 1 switch. It is still not clear if they are connected in a common subnet or in different subnets. I suspect that they are in a common subnet and therefore my original answer stands. router1 should communicate directly with router2 without needing to go through router3.
If I do not have it quite right, it would be helpful if you would give us a list of each interface and its IP address on each router. Also if you could give us the EIGRP configuration.]
HTH
Rick
HTH
Rick