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Finding the Third Proportional to 415,938 and 901,374

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Solution

The third proportional to 415,938 and 901,374 is: 1,953,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938 : 901,374 = 901,374 : x
  2. Step 2: Convert to fraction form
    415,938/901,374 = 901,374/x
  3. Step 3: Cross multiply
    415,938x = 901,374 × 901,374
  4. Step 4: Simplify right side
    415,938x = 812,475,087,876
  5. Step 5: Solve for x
    x = 812,475,087,876/415,938
  6. Step 6: Final answer
    x = 1,953,356.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.