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Finding the Third Proportional to 1,199,817 and 1,687,459

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Solution

The third proportional to 1,199,817 and 1,687,459 is: 2,373,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,817 : 1,687,459 = 1,687,459 : x
  2. Step 2: Convert to fraction form
    1,199,817/1,687,459 = 1,687,459/x
  3. Step 3: Cross multiply
    1,199,817x = 1,687,459 × 1,687,459
  4. Step 4: Simplify right side
    1,199,817x = 2,847,517,876,681
  5. Step 5: Solve for x
    x = 2,847,517,876,681/1,199,817
  6. Step 6: Final answer
    x = 2,373,293.49

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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.