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Finding the Third Proportional to 2,150,849 and 3,301,469

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Solution

The third proportional to 2,150,849 and 3,301,469 is: 5,067,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,849 : 3,301,469 = 3,301,469 : x
  2. Step 2: Convert to fraction form
    2,150,849/3,301,469 = 3,301,469/x
  3. Step 3: Cross multiply
    2,150,849x = 3,301,469 × 3,301,469
  4. Step 4: Simplify right side
    2,150,849x = 10,899,697,557,961
  5. Step 5: Solve for x
    x = 10,899,697,557,961/2,150,849
  6. Step 6: Final answer
    x = 5,067,625.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.