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Finding the Third Proportional to 442,718 and 978,464

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Solution

The third proportional to 442,718 and 978,464 is: 2,162,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,718 : 978,464 = 978,464 : x
  2. Step 2: Convert to fraction form
    442,718/978,464 = 978,464/x
  3. Step 3: Cross multiply
    442,718x = 978,464 × 978,464
  4. Step 4: Simplify right side
    442,718x = 957,391,799,296
  5. Step 5: Solve for x
    x = 957,391,799,296/442,718
  6. Step 6: Final answer
    x = 2,162,531.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.