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Finding the Third Proportional to 2,305,843 and 3,284,710

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Solution

The third proportional to 2,305,843 and 3,284,710 is: 4,679,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,843 : 3,284,710 = 3,284,710 : x
  2. Step 2: Convert to fraction form
    2,305,843/3,284,710 = 3,284,710/x
  3. Step 3: Cross multiply
    2,305,843x = 3,284,710 × 3,284,710
  4. Step 4: Simplify right side
    2,305,843x = 10,789,319,784,100
  5. Step 5: Solve for x
    x = 10,789,319,784,100/2,305,843
  6. Step 6: Final answer
    x = 4,679,121.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.