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Finding the Third Proportional to 1,177,261.50 and 2,542,695

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Solution

The third proportional to 1,177,261.50 and 2,542,695 is: 5,491,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,261.50 : 2,542,695 = 2,542,695 : x
  2. Step 2: Convert to fraction form
    1,177,261.50/2,542,695 = 2,542,695/x
  3. Step 3: Cross multiply
    1,177,261.50x = 2,542,695 × 2,542,695
  4. Step 4: Simplify right side
    1,177,261.50x = 6,465,297,863,025
  5. Step 5: Solve for x
    x = 6,465,297,863,025/1,177,261.50
  6. Step 6: Final answer
    x = 5,491,811.18

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Why These Related Problems?

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