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Finding the Third Proportional to 769,191.75 and 1,194,108.75

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Solution

The third proportional to 769,191.75 and 1,194,108.75 is: 1,853,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,191.75 : 1,194,108.75 = 1,194,108.75 : x
  2. Step 2: Convert to fraction form
    769,191.75/1,194,108.75 = 1,194,108.75/x
  3. Step 3: Cross multiply
    769,191.75x = 1,194,108.75 × 1,194,108.75
  4. Step 4: Simplify right side
    769,191.75x = 1,425,895,706,826.56
  5. Step 5: Solve for x
    x = 1,425,895,706,826.56/769,191.75
  6. Step 6: Final answer
    x = 1,853,758.45

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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.