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Finding the Third Proportional to 2,585,775 and 3,914,612

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Solution

The third proportional to 2,585,775 and 3,914,612 is: 5,926,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,775 : 3,914,612 = 3,914,612 : x
  2. Step 2: Convert to fraction form
    2,585,775/3,914,612 = 3,914,612/x
  3. Step 3: Cross multiply
    2,585,775x = 3,914,612 × 3,914,612
  4. Step 4: Simplify right side
    2,585,775x = 15,324,187,110,544
  5. Step 5: Solve for x
    x = 15,324,187,110,544/2,585,775
  6. Step 6: Final answer
    x = 5,926,342.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.