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Finding the Third Proportional to 445,744.13 and 928,424.25

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Solution

The third proportional to 445,744.13 and 928,424.25 is: 1,933,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,744.13 : 928,424.25 = 928,424.25 : x
  2. Step 2: Convert to fraction form
    445,744.13/928,424.25 = 928,424.25/x
  3. Step 3: Cross multiply
    445,744.13x = 928,424.25 × 928,424.25
  4. Step 4: Simplify right side
    445,744.13x = 861,971,587,988.06
  5. Step 5: Solve for x
    x = 861,971,587,988.06/445,744.13
  6. Step 6: Final answer
    x = 1,933,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.