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Finding the Third Proportional to 418,464 and 906,452

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Solution

The third proportional to 418,464 and 906,452 is: 1,963,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,464 : 906,452 = 906,452 : x
  2. Step 2: Convert to fraction form
    418,464/906,452 = 906,452/x
  3. Step 3: Cross multiply
    418,464x = 906,452 × 906,452
  4. Step 4: Simplify right side
    418,464x = 821,655,228,304
  5. Step 5: Solve for x
    x = 821,655,228,304/418,464
  6. Step 6: Final answer
    x = 1,963,502.78

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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.