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Finding the Third Proportional to 619,747.50 and 1,313,914.50

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Solution

The third proportional to 619,747.50 and 1,313,914.50 is: 2,785,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,747.50 : 1,313,914.50 = 1,313,914.50 : x
  2. Step 2: Convert to fraction form
    619,747.50/1,313,914.50 = 1,313,914.50/x
  3. Step 3: Cross multiply
    619,747.50x = 1,313,914.50 × 1,313,914.50
  4. Step 4: Simplify right side
    619,747.50x = 1,726,371,313,310.25
  5. Step 5: Solve for x
    x = 1,726,371,313,310.25/619,747.50
  6. Step 6: Final answer
    x = 2,785,604.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.