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Finding the Third Proportional to 1,002,638.25 and 2,165,079.38

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Solution

The third proportional to 1,002,638.25 and 2,165,079.38 is: 4,675,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,638.25 : 2,165,079.38 = 2,165,079.38 : x
  2. Step 2: Convert to fraction form
    1,002,638.25/2,165,079.38 = 2,165,079.38/x
  3. Step 3: Cross multiply
    1,002,638.25x = 2,165,079.38 × 2,165,079.38
  4. Step 4: Simplify right side
    1,002,638.25x = 4,687,568,700,050.39
  5. Step 5: Solve for x
    x = 4,687,568,700,050.39/1,002,638.25
  6. Step 6: Final answer
    x = 4,675,234.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.