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Finding the Third Proportional to 982,561 and 1,491,567

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Solution

The third proportional to 982,561 and 1,491,567 is: 2,264,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,561 : 1,491,567 = 1,491,567 : x
  2. Step 2: Convert to fraction form
    982,561/1,491,567 = 1,491,567/x
  3. Step 3: Cross multiply
    982,561x = 1,491,567 × 1,491,567
  4. Step 4: Simplify right side
    982,561x = 2,224,772,115,489
  5. Step 5: Solve for x
    x = 2,224,772,115,489/982,561
  6. Step 6: Final answer
    x = 2,264,258.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.