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Finding the Third Proportional to 431,949.59 and 942,631.17

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Solution

The third proportional to 431,949.59 and 942,631.17 is: 2,057,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,949.59 : 942,631.17 = 942,631.17 : x
  2. Step 2: Convert to fraction form
    431,949.59/942,631.17 = 942,631.17/x
  3. Step 3: Cross multiply
    431,949.59x = 942,631.17 × 942,631.17
  4. Step 4: Simplify right side
    431,949.59x = 888,553,526,190.44
  5. Step 5: Solve for x
    x = 888,553,526,190.44/431,949.59
  6. Step 6: Final answer
    x = 2,057,076.93

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Why These Related Problems?

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