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Finding the Third Proportional to 415,937 and 901,372

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Solution

The third proportional to 415,937 and 901,372 is: 1,953,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,937 : 901,372 = 901,372 : x
  2. Step 2: Convert to fraction form
    415,937/901,372 = 901,372/x
  3. Step 3: Cross multiply
    415,937x = 901,372 × 901,372
  4. Step 4: Simplify right side
    415,937x = 812,471,482,384
  5. Step 5: Solve for x
    x = 812,471,482,384/415,937
  6. Step 6: Final answer
    x = 1,953,352.27

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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.