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Finding the Third Proportional to 2,857,734 and 3,936,681

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Solution

The third proportional to 2,857,734 and 3,936,681 is: 5,422,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,734 : 3,936,681 = 3,936,681 : x
  2. Step 2: Convert to fraction form
    2,857,734/3,936,681 = 3,936,681/x
  3. Step 3: Cross multiply
    2,857,734x = 3,936,681 × 3,936,681
  4. Step 4: Simplify right side
    2,857,734x = 15,497,457,295,761
  5. Step 5: Solve for x
    x = 15,497,457,295,761/2,857,734
  6. Step 6: Final answer
    x = 5,422,988.04

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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.