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Finding the Third Proportional to 391,840 and 854,720

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Solution

The third proportional to 391,840 and 854,720 is: 1,864,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,840 : 854,720 = 854,720 : x
  2. Step 2: Convert to fraction form
    391,840/854,720 = 854,720/x
  3. Step 3: Cross multiply
    391,840x = 854,720 × 854,720
  4. Step 4: Simplify right side
    391,840x = 730,546,278,400
  5. Step 5: Solve for x
    x = 730,546,278,400/391,840
  6. Step 6: Final answer
    x = 1,864,399.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.