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Finding the Third Proportional to 769,001.50 and 1,682,757

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Solution

The third proportional to 769,001.50 and 1,682,757 is: 3,682,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,001.50 : 1,682,757 = 1,682,757 : x
  2. Step 2: Convert to fraction form
    769,001.50/1,682,757 = 1,682,757/x
  3. Step 3: Cross multiply
    769,001.50x = 1,682,757 × 1,682,757
  4. Step 4: Simplify right side
    769,001.50x = 2,831,671,121,049
  5. Step 5: Solve for x
    x = 2,831,671,121,049/769,001.50
  6. Step 6: Final answer
    x = 3,682,269.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.