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Finding the Third Proportional to 418,092 and 903,264

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Solution

The third proportional to 418,092 and 903,264 is: 1,951,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,092 : 903,264 = 903,264 : x
  2. Step 2: Convert to fraction form
    418,092/903,264 = 903,264/x
  3. Step 3: Cross multiply
    418,092x = 903,264 × 903,264
  4. Step 4: Simplify right side
    418,092x = 815,885,853,696
  5. Step 5: Solve for x
    x = 815,885,853,696/418,092
  6. Step 6: Final answer
    x = 1,951,450.53

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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.