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Finding the Third Proportional to 768,793.78 and 1,682,372.53

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Solution

The third proportional to 768,793.78 and 1,682,372.53 is: 3,681,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,793.78 : 1,682,372.53 = 1,682,372.53 : x
  2. Step 2: Convert to fraction form
    768,793.78/1,682,372.53 = 1,682,372.53/x
  3. Step 3: Cross multiply
    768,793.78x = 1,682,372.53 × 1,682,372.53
  4. Step 4: Simplify right side
    768,793.78x = 2,830,377,333,904.53
  5. Step 5: Solve for x
    x = 2,830,377,333,904.53/768,793.78
  6. Step 6: Final answer
    x = 3,681,581.98

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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.