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Finding the Third Proportional to 418,122 and 903,312

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Solution

The third proportional to 418,122 and 903,312 is: 1,951,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,122 : 903,312 = 903,312 : x
  2. Step 2: Convert to fraction form
    418,122/903,312 = 903,312/x
  3. Step 3: Cross multiply
    418,122x = 903,312 × 903,312
  4. Step 4: Simplify right side
    418,122x = 815,972,569,344
  5. Step 5: Solve for x
    x = 815,972,569,344/418,122
  6. Step 6: Final answer
    x = 1,951,517.90

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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.