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Finding the Third Proportional to 1,025,725.78 and 2,232,061.31

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Solution

The third proportional to 1,025,725.78 and 2,232,061.31 is: 4,857,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,725.78 : 2,232,061.31 = 2,232,061.31 : x
  2. Step 2: Convert to fraction form
    1,025,725.78/2,232,061.31 = 2,232,061.31/x
  3. Step 3: Cross multiply
    1,025,725.78x = 2,232,061.31 × 2,232,061.31
  4. Step 4: Simplify right side
    1,025,725.78x = 4,982,097,702,759.22
  5. Step 5: Solve for x
    x = 4,982,097,702,759.22/1,025,725.78
  6. Step 6: Final answer
    x = 4,857,143.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.