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Finding the Third Proportional to 681,344 and 1,500,928

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Solution

The third proportional to 681,344 and 1,500,928 is: 3,306,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,344 : 1,500,928 = 1,500,928 : x
  2. Step 2: Convert to fraction form
    681,344/1,500,928 = 1,500,928/x
  3. Step 3: Cross multiply
    681,344x = 1,500,928 × 1,500,928
  4. Step 4: Simplify right side
    681,344x = 2,252,784,861,184
  5. Step 5: Solve for x
    x = 2,252,784,861,184/681,344
  6. Step 6: Final answer
    x = 3,306,383.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.