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Finding the Third Proportional to 418,086 and 903,252

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Solution

The third proportional to 418,086 and 903,252 is: 1,951,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,086 : 903,252 = 903,252 : x
  2. Step 2: Convert to fraction form
    418,086/903,252 = 903,252/x
  3. Step 3: Cross multiply
    418,086x = 903,252 × 903,252
  4. Step 4: Simplify right side
    418,086x = 815,864,175,504
  5. Step 5: Solve for x
    x = 815,864,175,504/418,086
  6. Step 6: Final answer
    x = 1,951,426.68

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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.