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Finding the Third Proportional to 3,267,986 and 4,792,107

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Solution

The third proportional to 3,267,986 and 4,792,107 is: 7,027,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,986 : 4,792,107 = 4,792,107 : x
  2. Step 2: Convert to fraction form
    3,267,986/4,792,107 = 4,792,107/x
  3. Step 3: Cross multiply
    3,267,986x = 4,792,107 × 4,792,107
  4. Step 4: Simplify right side
    3,267,986x = 22,964,289,499,449
  5. Step 5: Solve for x
    x = 22,964,289,499,449/3,267,986
  6. Step 6: Final answer
    x = 7,027,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.