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Finding the Third Proportional to 2,322,164.25 and 5,246,376.75

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Solution

The third proportional to 2,322,164.25 and 5,246,376.75 is: 11,852,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,164.25 : 5,246,376.75 = 5,246,376.75 : x
  2. Step 2: Convert to fraction form
    2,322,164.25/5,246,376.75 = 5,246,376.75/x
  3. Step 3: Cross multiply
    2,322,164.25x = 5,246,376.75 × 5,246,376.75
  4. Step 4: Simplify right side
    2,322,164.25x = 27,524,469,002,940.56
  5. Step 5: Solve for x
    x = 27,524,469,002,940.56/2,322,164.25
  6. Step 6: Final answer
    x = 11,852,938.05

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.