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Finding the Third Proportional to 414,564 and 906,408

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Solution

The third proportional to 414,564 and 906,408 is: 1,981,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,564 : 906,408 = 906,408 : x
  2. Step 2: Convert to fraction form
    414,564/906,408 = 906,408/x
  3. Step 3: Cross multiply
    414,564x = 906,408 × 906,408
  4. Step 4: Simplify right side
    414,564x = 821,575,462,464
  5. Step 5: Solve for x
    x = 821,575,462,464/414,564
  6. Step 6: Final answer
    x = 1,981,781.97

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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.