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Finding the Third Proportional to 723,961.25 and 1,082,114.75

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Solution

The third proportional to 723,961.25 and 1,082,114.75 is: 1,617,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,961.25 : 1,082,114.75 = 1,082,114.75 : x
  2. Step 2: Convert to fraction form
    723,961.25/1,082,114.75 = 1,082,114.75/x
  3. Step 3: Cross multiply
    723,961.25x = 1,082,114.75 × 1,082,114.75
  4. Step 4: Simplify right side
    723,961.25x = 1,170,972,332,167.56
  5. Step 5: Solve for x
    x = 1,170,972,332,167.56/723,961.25
  6. Step 6: Final answer
    x = 1,617,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.