Finding the Third Proportional to 830,536 and 1,301,162
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Solution
The third proportional to 830,536 and 1,301,162 is: 2,038,469.80
Step by Step Solution
- Step 1: Write the proportion equation
830,536 : 1,301,162 = 1,301,162 : x - Step 2: Convert to fraction form
830,536/1,301,162 = 1,301,162/x - Step 3: Cross multiply
830,536x = 1,301,162 × 1,301,162 - Step 4: Simplify right side
830,536x = 1,693,022,550,244 - Step 5: Solve for x
x = 1,693,022,550,244/830,536 - Step 6: Final answer
x = 2,038,469.80
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.