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Finding the Third Proportional to 2,066,048 and 4,498,048

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Solution

The third proportional to 2,066,048 and 4,498,048 is: 9,792,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,048 : 4,498,048 = 4,498,048 : x
  2. Step 2: Convert to fraction form
    2,066,048/4,498,048 = 4,498,048/x
  3. Step 3: Cross multiply
    2,066,048x = 4,498,048 × 4,498,048
  4. Step 4: Simplify right side
    2,066,048x = 20,232,435,810,304
  5. Step 5: Solve for x
    x = 20,232,435,810,304/2,066,048
  6. Step 6: Final answer
    x = 9,792,819.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.