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Finding the Third Proportional to 1,836,166.50 and 2,754,249.75

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Solution

The third proportional to 1,836,166.50 and 2,754,249.75 is: 4,131,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,166.50 : 2,754,249.75 = 2,754,249.75 : x
  2. Step 2: Convert to fraction form
    1,836,166.50/2,754,249.75 = 2,754,249.75/x
  3. Step 3: Cross multiply
    1,836,166.50x = 2,754,249.75 × 2,754,249.75
  4. Step 4: Simplify right side
    1,836,166.50x = 7,585,891,685,375.06
  5. Step 5: Solve for x
    x = 7,585,891,685,375.06/1,836,166.50
  6. Step 6: Final answer
    x = 4,131,374.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.