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Finding the Third Proportional to 546,086 and 854,799

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Solution

The third proportional to 546,086 and 854,799 is: 1,338,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,086 : 854,799 = 854,799 : x
  2. Step 2: Convert to fraction form
    546,086/854,799 = 854,799/x
  3. Step 3: Cross multiply
    546,086x = 854,799 × 854,799
  4. Step 4: Simplify right side
    546,086x = 730,681,330,401
  5. Step 5: Solve for x
    x = 730,681,330,401/546,086
  6. Step 6: Final answer
    x = 1,338,033.44

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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.