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Finding the Third Proportional to 418,884 and 904,188

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Solution

The third proportional to 418,884 and 904,188 is: 1,951,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,884 : 904,188 = 904,188 : x
  2. Step 2: Convert to fraction form
    418,884/904,188 = 904,188/x
  3. Step 3: Cross multiply
    418,884x = 904,188 × 904,188
  4. Step 4: Simplify right side
    418,884x = 817,555,939,344
  5. Step 5: Solve for x
    x = 817,555,939,344/418,884
  6. Step 6: Final answer
    x = 1,951,747.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.