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Finding the Third Proportional to 2,005,270 and 3,291,839

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Solution

The third proportional to 2,005,270 and 3,291,839 is: 5,403,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,270 : 3,291,839 = 3,291,839 : x
  2. Step 2: Convert to fraction form
    2,005,270/3,291,839 = 3,291,839/x
  3. Step 3: Cross multiply
    2,005,270x = 3,291,839 × 3,291,839
  4. Step 4: Simplify right side
    2,005,270x = 10,836,204,001,921
  5. Step 5: Solve for x
    x = 10,836,204,001,921/2,005,270
  6. Step 6: Final answer
    x = 5,403,862.82

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.