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With the serial number that you have supplied,your Smith-corona model 1903A3 was made in the year 1943.these rifles were only made in the years 1943-1944.If your rifle has a letter C prefix to the serial number,then this indicates that remington also made a model 1903A3 with the same serial number. These were the only 2 manufactures of the 1903A3 rifles.
I checked www.oldguns.net and they show the manufacture date of Remington 1903A3 serial no. 3851292 as 1942.
September 1943
August 1943
July 1943
With the serial number that you have provided,your Remington model 1903A3 was made in the year 1942.The first serial number assigned to this rifle was serial number 3,348,086,So as you can see yours was made early on in World War II.
your serial number 33486 is to low for the 1903a3 serial number range. however, the Remington model of 1917, serial number 33486 was made in 1918............. The 1903a3 and the model of 1918 both fire the 30/06 cartridge.................
The original Remington was made in 1903 October 1943.
Your Remington 1903-A3 was made by Remington in 1942.
it is 3006 cal.
The Model 1903A3 rifle is base upon the Mauser 98 action but they are not exactly the same.
February 1943