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Finding the Third Proportional to 1,199,866 and 1,687,532

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Solution

The third proportional to 1,199,866 and 1,687,532 is: 2,373,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,866 : 1,687,532 = 1,687,532 : x
  2. Step 2: Convert to fraction form
    1,199,866/1,687,532 = 1,687,532/x
  3. Step 3: Cross multiply
    1,199,866x = 1,687,532 × 1,687,532
  4. Step 4: Simplify right side
    1,199,866x = 2,847,764,251,024
  5. Step 5: Solve for x
    x = 2,847,764,251,024/1,199,866
  6. Step 6: Final answer
    x = 2,373,401.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.