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Finding the Third Proportional to 2,741,419.50 and 5,940,471

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Solution

The third proportional to 2,741,419.50 and 5,940,471 is: 12,872,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,419.50 : 5,940,471 = 5,940,471 : x
  2. Step 2: Convert to fraction form
    2,741,419.50/5,940,471 = 5,940,471/x
  3. Step 3: Cross multiply
    2,741,419.50x = 5,940,471 × 5,940,471
  4. Step 4: Simplify right side
    2,741,419.50x = 35,289,195,701,841
  5. Step 5: Solve for x
    x = 35,289,195,701,841/2,741,419.50
  6. Step 6: Final answer
    x = 12,872,599.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.