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Finding the Third Proportional to 415,049 and 906,983

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Solution

The third proportional to 415,049 and 906,983 is: 1,981,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,049 : 906,983 = 906,983 : x
  2. Step 2: Convert to fraction form
    415,049/906,983 = 906,983/x
  3. Step 3: Cross multiply
    415,049x = 906,983 × 906,983
  4. Step 4: Simplify right side
    415,049x = 822,618,162,289
  5. Step 5: Solve for x
    x = 822,618,162,289/415,049
  6. Step 6: Final answer
    x = 1,981,978.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.