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Finding the Third Proportional to 551,772 and 854,722.13

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Solution

The third proportional to 551,772 and 854,722.13 is: 1,324,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,772 : 854,722.13 = 854,722.13 : x
  2. Step 2: Convert to fraction form
    551,772/854,722.13 = 854,722.13/x
  3. Step 3: Cross multiply
    551,772x = 854,722.13 × 854,722.13
  4. Step 4: Simplify right side
    551,772x = 730,549,910,964.52
  5. Step 5: Solve for x
    x = 730,549,910,964.52/551,772
  6. Step 6: Final answer
    x = 1,324,006.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.