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Finding the Third Proportional to 1,198,800 and 2,550,150

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Solution

The third proportional to 1,198,800 and 2,550,150 is: 5,424,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,800 : 2,550,150 = 2,550,150 : x
  2. Step 2: Convert to fraction form
    1,198,800/2,550,150 = 2,550,150/x
  3. Step 3: Cross multiply
    1,198,800x = 2,550,150 × 2,550,150
  4. Step 4: Simplify right side
    1,198,800x = 6,503,265,022,500
  5. Step 5: Solve for x
    x = 6,503,265,022,500/1,198,800
  6. Step 6: Final answer
    x = 5,424,812.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.