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Finding the Third Proportional to 418,044 and 903,156

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Solution

The third proportional to 418,044 and 903,156 is: 1,951,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,044 : 903,156 = 903,156 : x
  2. Step 2: Convert to fraction form
    418,044/903,156 = 903,156/x
  3. Step 3: Cross multiply
    418,044x = 903,156 × 903,156
  4. Step 4: Simplify right side
    418,044x = 815,690,760,336
  5. Step 5: Solve for x
    x = 815,690,760,336/418,044
  6. Step 6: Final answer
    x = 1,951,207.91

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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.