The South African population grew by 19.8% between 2011 and 2022, from 51.7 million to 62 million. Show through calculations whether the percentage increase is correct.

To determine if the percentage increase in the South African population from 1.7 million in 2011 to 62 million in 2022 is correct, follow these steps:

1. Convert Population Values:
- Start with the initial population in 2011, which was 1.7 million.
- The final population in 2022 was 62 million.

2. Calculate the Increase in Population:
- Subtract the initial population from the final population:
[tex]\( 62 \, \text{million} - 1.7 \, \text{million} = 60.3 \, \text{million} \)[/tex]

3. Calculate the Percentage Increase:
- Use the formula for percentage increase:
[tex]\[
\left( \frac{\text{Increase in population}}{\text{Initial population}} \right) \times 100
\][/tex]
- Plug in the numbers:
[tex]\[
\left( \frac{60.3 \, \text{million}}{1.7 \, \text{million}} \right) \times 100 = 3547.06\%
\][/tex]

4. Compare with the Claimed Increase:
- The question claims a 19.8% increase.
- Our calculated percentage increase is 3547.06%.

5. Conclusion:
- The actual percentage increase greatly exceeds the claimed 19.8%. Therefore, the percentage increase stated in the question is incorrect. The actual increase calculated is 3547.06%.

So, there is a significant difference, and the specific increase mentioned in the question does not match the calculated result.