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Finding the Third Proportional to 1,188,195.75 and 2,523,645

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Solution

The third proportional to 1,188,195.75 and 2,523,645 is: 5,360,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,195.75 : 2,523,645 = 2,523,645 : x
  2. Step 2: Convert to fraction form
    1,188,195.75/2,523,645 = 2,523,645/x
  3. Step 3: Cross multiply
    1,188,195.75x = 2,523,645 × 2,523,645
  4. Step 4: Simplify right side
    1,188,195.75x = 6,368,784,086,025
  5. Step 5: Solve for x
    x = 6,368,784,086,025/1,188,195.75
  6. Step 6: Final answer
    x = 5,360,046.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.