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Finding the Third Proportional to 415,055 and 906,995

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Solution

The third proportional to 415,055 and 906,995 is: 1,982,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,055 : 906,995 = 906,995 : x
  2. Step 2: Convert to fraction form
    415,055/906,995 = 906,995/x
  3. Step 3: Cross multiply
    415,055x = 906,995 × 906,995
  4. Step 4: Simplify right side
    415,055x = 822,639,930,025
  5. Step 5: Solve for x
    x = 822,639,930,025/415,055
  6. Step 6: Final answer
    x = 1,982,002.22

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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.