Here's a simple formula to use, I wasn't going to post it but it might be handy for some.
Y = [ (C-A) / (B-C) ]X
X=first liquid volume in mL
A=first liquid strength in mg/mL
Y=second liquid volume in mL
B=second liquid strength in mg/mL
C=final strength you want or if C is the dependent variable, it is the final strength
Another useful form is C = (AX + BY)/(X+Y)
This is actually the form you want for your problem. Solving for final strength. The first one is in a form to solve for the amount of liquid need to achieve a pre-determined final strength.
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Proof for formula:
XmL of Amg/mL = AXmg
YmL of Bmg/mL = BYmg
(X+Y)mL of Cmg/mL = C(X+Y)mg
Then,
AX + BY = C(X+Y)
AX + BY = CX + CY
BY - CY = CX - AX
Y(B-C) = (C-A)X
Y = [(C-A)/(B-C)]X