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Finding the Third Proportional to 3,832,982 and 5,749,569

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Solution

The third proportional to 3,832,982 and 5,749,569 is: 8,624,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,982 : 5,749,569 = 5,749,569 : x
  2. Step 2: Convert to fraction form
    3,832,982/5,749,569 = 5,749,569/x
  3. Step 3: Cross multiply
    3,832,982x = 5,749,569 × 5,749,569
  4. Step 4: Simplify right side
    3,832,982x = 33,057,543,685,761
  5. Step 5: Solve for x
    x = 33,057,543,685,761/3,832,982
  6. Step 6: Final answer
    x = 8,624,497.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.