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Finding the Third Proportional to 546,118 and 854,817

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Solution

The third proportional to 546,118 and 854,817 is: 1,338,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,118 : 854,817 = 854,817 : x
  2. Step 2: Convert to fraction form
    546,118/854,817 = 854,817/x
  3. Step 3: Cross multiply
    546,118x = 854,817 × 854,817
  4. Step 4: Simplify right side
    546,118x = 730,712,103,489
  5. Step 5: Solve for x
    x = 730,712,103,489/546,118
  6. Step 6: Final answer
    x = 1,338,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.