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Finding the Third Proportional to 534,920 and 1,174,800

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Solution

The third proportional to 534,920 and 1,174,800 is: 2,580,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,920 : 1,174,800 = 1,174,800 : x
  2. Step 2: Convert to fraction form
    534,920/1,174,800 = 1,174,800/x
  3. Step 3: Cross multiply
    534,920x = 1,174,800 × 1,174,800
  4. Step 4: Simplify right side
    534,920x = 1,380,155,040,000
  5. Step 5: Solve for x
    x = 1,380,155,040,000/534,920
  6. Step 6: Final answer
    x = 2,580,114.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.