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Finding the Third Proportional to 769,084 and 1,193,934

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Solution

The third proportional to 769,084 and 1,193,934 is: 1,853,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,084 : 1,193,934 = 1,193,934 : x
  2. Step 2: Convert to fraction form
    769,084/1,193,934 = 1,193,934/x
  3. Step 3: Cross multiply
    769,084x = 1,193,934 × 1,193,934
  4. Step 4: Simplify right side
    769,084x = 1,425,478,396,356
  5. Step 5: Solve for x
    x = 1,425,478,396,356/769,084
  6. Step 6: Final answer
    x = 1,853,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.