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Finding the Third Proportional to 415,380 and 900,744

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Solution

The third proportional to 415,380 and 900,744 is: 1,953,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,380 : 900,744 = 900,744 : x
  2. Step 2: Convert to fraction form
    415,380/900,744 = 900,744/x
  3. Step 3: Cross multiply
    415,380x = 900,744 × 900,744
  4. Step 4: Simplify right side
    415,380x = 811,339,753,536
  5. Step 5: Solve for x
    x = 811,339,753,536/415,380
  6. Step 6: Final answer
    x = 1,953,247.04

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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.