The two technological advances that significantly contributed to the increase in the enslaved population in Georgia from 1830 to 1860 are:
A. Cotton Gin - The invention and widespread use of the cotton gin greatly increased the efficiency of cotton production, making it much more profitable and leading to an increase in the demand for enslaved labor.
B. Railroads - The expansion of railroads facilitated the transportation of cotton and other goods, further boosting the economy and the demand for slave labor to support those industries.
Both technologies were instrumental in the growth of the cotton economy in the South, leading to a significant increase in the enslaved population during that time period.