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Finding the Third Proportional to 2,142,724 and 3,241,734

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Solution

The third proportional to 2,142,724 and 3,241,734 is: 4,904,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,724 : 3,241,734 = 3,241,734 : x
  2. Step 2: Convert to fraction form
    2,142,724/3,241,734 = 3,241,734/x
  3. Step 3: Cross multiply
    2,142,724x = 3,241,734 × 3,241,734
  4. Step 4: Simplify right side
    2,142,724x = 10,508,839,326,756
  5. Step 5: Solve for x
    x = 10,508,839,326,756/2,142,724
  6. Step 6: Final answer
    x = 4,904,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.