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Finding the Third Proportional to 3,785,204 and 5,676,416

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Solution

The third proportional to 3,785,204 and 5,676,416 is: 8,512,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,204 : 5,676,416 = 5,676,416 : x
  2. Step 2: Convert to fraction form
    3,785,204/5,676,416 = 5,676,416/x
  3. Step 3: Cross multiply
    3,785,204x = 5,676,416 × 5,676,416
  4. Step 4: Simplify right side
    3,785,204x = 32,221,698,605,056
  5. Step 5: Solve for x
    x = 32,221,698,605,056/3,785,204
  6. Step 6: Final answer
    x = 8,512,539.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.