Finding the Third Proportional to 535,942 and 853,113
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Solution
The third proportional to 535,942 and 853,113 is: 1,357,986.11
Step by Step Solution
- Step 1: Write the proportion equation
535,942 : 853,113 = 853,113 : x - Step 2: Convert to fraction form
535,942/853,113 = 853,113/x - Step 3: Cross multiply
535,942x = 853,113 × 853,113 - Step 4: Simplify right side
535,942x = 727,801,790,769 - Step 5: Solve for x
x = 727,801,790,769/535,942 - Step 6: Final answer
x = 1,357,986.11
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.