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Finding the Third Proportional to 3,829,976 and 5,824,542

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Solution

The third proportional to 3,829,976 and 5,824,542 is: 8,857,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,976 : 5,824,542 = 5,824,542 : x
  2. Step 2: Convert to fraction form
    3,829,976/5,824,542 = 5,824,542/x
  3. Step 3: Cross multiply
    3,829,976x = 5,824,542 × 5,824,542
  4. Step 4: Simplify right side
    3,829,976x = 33,925,289,509,764
  5. Step 5: Solve for x
    x = 33,925,289,509,764/3,829,976
  6. Step 6: Final answer
    x = 8,857,833.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.