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Finding the Third Proportional to 3,204,837 and 7,412,832

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Solution

The third proportional to 3,204,837 and 7,412,832 is: 17,145,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,837 : 7,412,832 = 7,412,832 : x
  2. Step 2: Convert to fraction form
    3,204,837/7,412,832 = 7,412,832/x
  3. Step 3: Cross multiply
    3,204,837x = 7,412,832 × 7,412,832
  4. Step 4: Simplify right side
    3,204,837x = 54,950,078,260,224
  5. Step 5: Solve for x
    x = 54,950,078,260,224/3,204,837
  6. Step 6: Final answer
    x = 17,145,982.23

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.