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Finding the Third Proportional to 769,680 and 1,781,610.75

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Solution

The third proportional to 769,680 and 1,781,610.75 is: 4,123,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,680 : 1,781,610.75 = 1,781,610.75 : x
  2. Step 2: Convert to fraction form
    769,680/1,781,610.75 = 1,781,610.75/x
  3. Step 3: Cross multiply
    769,680x = 1,781,610.75 × 1,781,610.75
  4. Step 4: Simplify right side
    769,680x = 3,174,136,864,515.56
  5. Step 5: Solve for x
    x = 3,174,136,864,515.56/769,680
  6. Step 6: Final answer
    x = 4,123,969.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.