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Finding the Third Proportional to 415,002 and 906,468

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Solution

The third proportional to 415,002 and 906,468 is: 1,979,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,002 : 906,468 = 906,468 : x
  2. Step 2: Convert to fraction form
    415,002/906,468 = 906,468/x
  3. Step 3: Cross multiply
    415,002x = 906,468 × 906,468
  4. Step 4: Simplify right side
    415,002x = 821,684,235,024
  5. Step 5: Solve for x
    x = 821,684,235,024/415,002
  6. Step 6: Final answer
    x = 1,979,952.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.