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Finding the Third Proportional to 2,305,170 and 3,383,019

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Solution

The third proportional to 2,305,170 and 3,383,019 is: 4,964,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,170 : 3,383,019 = 3,383,019 : x
  2. Step 2: Convert to fraction form
    2,305,170/3,383,019 = 3,383,019/x
  3. Step 3: Cross multiply
    2,305,170x = 3,383,019 × 3,383,019
  4. Step 4: Simplify right side
    2,305,170x = 11,444,817,554,361
  5. Step 5: Solve for x
    x = 11,444,817,554,361/2,305,170
  6. Step 6: Final answer
    x = 4,964,847.52

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