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Finding the Third Proportional to 2,857,734.75 and 3,936,682.13

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Solution

The third proportional to 2,857,734.75 and 3,936,682.13 is: 5,422,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,734.75 : 3,936,682.13 = 3,936,682.13 : x
  2. Step 2: Convert to fraction form
    2,857,734.75/3,936,682.13 = 3,936,682.13/x
  3. Step 3: Cross multiply
    2,857,734.75x = 3,936,682.13 × 3,936,682.13
  4. Step 4: Simplify right side
    2,857,734.75x = 15,497,466,153,294.52
  5. Step 5: Solve for x
    x = 15,497,466,153,294.52/2,857,734.75
  6. Step 6: Final answer
    x = 5,422,989.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.