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Finding the Third Proportional to 874,829.25 and 1,428,522.75

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Solution

The third proportional to 874,829.25 and 1,428,522.75 is: 2,332,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,829.25 : 1,428,522.75 = 1,428,522.75 : x
  2. Step 2: Convert to fraction form
    874,829.25/1,428,522.75 = 1,428,522.75/x
  3. Step 3: Cross multiply
    874,829.25x = 1,428,522.75 × 1,428,522.75
  4. Step 4: Simplify right side
    874,829.25x = 2,040,677,247,267.56
  5. Step 5: Solve for x
    x = 2,040,677,247,267.56/874,829.25
  6. Step 6: Final answer
    x = 2,332,657.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.