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Finding the Third Proportional to 674,532 and 1,561,626

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Solution

The third proportional to 674,532 and 1,561,626 is: 3,615,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,532 : 1,561,626 = 1,561,626 : x
  2. Step 2: Convert to fraction form
    674,532/1,561,626 = 1,561,626/x
  3. Step 3: Cross multiply
    674,532x = 1,561,626 × 1,561,626
  4. Step 4: Simplify right side
    674,532x = 2,438,675,763,876
  5. Step 5: Solve for x
    x = 2,438,675,763,876/674,532
  6. Step 6: Final answer
    x = 3,615,359.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.