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Finding the Third Proportional to 442,755 and 978,540

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Solution

The third proportional to 442,755 and 978,540 is: 2,162,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,755 : 978,540 = 978,540 : x
  2. Step 2: Convert to fraction form
    442,755/978,540 = 978,540/x
  3. Step 3: Cross multiply
    442,755x = 978,540 × 978,540
  4. Step 4: Simplify right side
    442,755x = 957,540,531,600
  5. Step 5: Solve for x
    x = 957,540,531,600/442,755
  6. Step 6: Final answer
    x = 2,162,687.11

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