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Finding the Third Proportional to 546,061.69 and 854,743.31

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Solution

The third proportional to 546,061.69 and 854,743.31 is: 1,337,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,061.69 : 854,743.31 = 854,743.31 : x
  2. Step 2: Convert to fraction form
    546,061.69/854,743.31 = 854,743.31/x
  3. Step 3: Cross multiply
    546,061.69x = 854,743.31 × 854,743.31
  4. Step 4: Simplify right side
    546,061.69x = 730,586,130,263.47
  5. Step 5: Solve for x
    x = 730,586,130,263.47/546,061.69
  6. Step 6: Final answer
    x = 1,337,918.68

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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.