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Finding the Third Proportional to 1,002,646.69 and 2,165,082.75

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Solution

The third proportional to 1,002,646.69 and 2,165,082.75 is: 4,675,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,646.69 : 2,165,082.75 = 2,165,082.75 : x
  2. Step 2: Convert to fraction form
    1,002,646.69/2,165,082.75 = 2,165,082.75/x
  3. Step 3: Cross multiply
    1,002,646.69x = 2,165,082.75 × 2,165,082.75
  4. Step 4: Simplify right side
    1,002,646.69x = 4,687,583,314,347.56
  5. Step 5: Solve for x
    x = 4,687,583,314,347.56/1,002,646.69
  6. Step 6: Final answer
    x = 4,675,209.50

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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.