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Finding the Third Proportional to 546,066 and 854,750

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Solution

The third proportional to 546,066 and 854,750 is: 1,337,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,066 : 854,750 = 854,750 : x
  2. Step 2: Convert to fraction form
    546,066/854,750 = 854,750/x
  3. Step 3: Cross multiply
    546,066x = 854,750 × 854,750
  4. Step 4: Simplify right side
    546,066x = 730,597,562,500
  5. Step 5: Solve for x
    x = 730,597,562,500/546,066
  6. Step 6: Final answer
    x = 1,337,929.05

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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.