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Finding the Third Proportional to 619,692 and 1,313,776.50

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Solution

The third proportional to 619,692 and 1,313,776.50 is: 2,785,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,692 : 1,313,776.50 = 1,313,776.50 : x
  2. Step 2: Convert to fraction form
    619,692/1,313,776.50 = 1,313,776.50/x
  3. Step 3: Cross multiply
    619,692x = 1,313,776.50 × 1,313,776.50
  4. Step 4: Simplify right side
    619,692x = 1,726,008,691,952.25
  5. Step 5: Solve for x
    x = 1,726,008,691,952.25/619,692
  6. Step 6: Final answer
    x = 2,785,268.64

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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.