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Finding the Third Proportional to 418,872 and 904,175

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Solution

The third proportional to 418,872 and 904,175 is: 1,951,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,872 : 904,175 = 904,175 : x
  2. Step 2: Convert to fraction form
    418,872/904,175 = 904,175/x
  3. Step 3: Cross multiply
    418,872x = 904,175 × 904,175
  4. Step 4: Simplify right side
    418,872x = 817,532,430,625
  5. Step 5: Solve for x
    x = 817,532,430,625/418,872
  6. Step 6: Final answer
    x = 1,951,747.62

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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.