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Finding the Third Proportional to 1,188,168.75 and 2,555,460

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Solution

The third proportional to 1,188,168.75 and 2,555,460 is: 5,496,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,168.75 : 2,555,460 = 2,555,460 : x
  2. Step 2: Convert to fraction form
    1,188,168.75/2,555,460 = 2,555,460/x
  3. Step 3: Cross multiply
    1,188,168.75x = 2,555,460 × 2,555,460
  4. Step 4: Simplify right side
    1,188,168.75x = 6,530,375,811,600
  5. Step 5: Solve for x
    x = 6,530,375,811,600/1,188,168.75
  6. Step 6: Final answer
    x = 5,496,168.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.