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Finding the Third Proportional to 415,389 and 900,762

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Solution

The third proportional to 415,389 and 900,762 is: 1,953,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,389 : 900,762 = 900,762 : x
  2. Step 2: Convert to fraction form
    415,389/900,762 = 900,762/x
  3. Step 3: Cross multiply
    415,389x = 900,762 × 900,762
  4. Step 4: Simplify right side
    415,389x = 811,372,180,644
  5. Step 5: Solve for x
    x = 811,372,180,644/415,389
  6. Step 6: Final answer
    x = 1,953,282.78

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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.