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Finding the Third Proportional to 418,029 and 903,126

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Solution

The third proportional to 418,029 and 903,126 is: 1,951,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,029 : 903,126 = 903,126 : x
  2. Step 2: Convert to fraction form
    418,029/903,126 = 903,126/x
  3. Step 3: Cross multiply
    418,029x = 903,126 × 903,126
  4. Step 4: Simplify right side
    418,029x = 815,636,571,876
  5. Step 5: Solve for x
    x = 815,636,571,876/418,029
  6. Step 6: Final answer
    x = 1,951,148.30

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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.