If two LM3915 ICs are in series with the 1.25V reference as the max reading, then the first LED will light when the input voltage is only 1.25mV which is way too low.
The second LED will light when the input is 1.77mV.
The 10th LED will light when the input voltage is 28.3mV.
The 11th LED will light when the input voltage is 40mV.
The 19th LED will light when the input voltage is 0.88V.
The 20th LED will light when the input voltage is 1.25V.
The voltage between the steps is different.
If you use two LM3914 ICs in series with the 1.25V reference as its max reading, then the first LED will light when the input voltage is 0.0625V.
The second LED will light when the input voltage is doubled to 0.125V.
The 10th LED will light when the input voltage is 0.5625.
The 11th LED will light when the input voltage is half the reference at 0.625V.
The 19th LED will light when the input voltage is 1.1875V.
The 20th LED will light when the input voltage is 1.1875V.
The voltage between the steps is the same.
You could use two LM3914's in series with the reference voltage set to 1.0V and then the difference between the steps will be exactly 0.05V.