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Finding the Third Proportional to 434,787.75 and 941,952.38

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Solution

The third proportional to 434,787.75 and 941,952.38 is: 2,040,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,787.75 : 941,952.38 = 941,952.38 : x
  2. Step 2: Convert to fraction form
    434,787.75/941,952.38 = 941,952.38/x
  3. Step 3: Cross multiply
    434,787.75x = 941,952.38 × 941,952.38
  4. Step 4: Simplify right side
    434,787.75x = 887,274,276,768.14
  5. Step 5: Solve for x
    x = 887,274,276,768.14/434,787.75
  6. Step 6: Final answer
    x = 2,040,706.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.