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Finding the Third Proportional to 768,777.75 and 1,682,351.44

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Solution

The third proportional to 768,777.75 and 1,682,351.44 is: 3,681,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,777.75 : 1,682,351.44 = 1,682,351.44 : x
  2. Step 2: Convert to fraction form
    768,777.75/1,682,351.44 = 1,682,351.44/x
  3. Step 3: Cross multiply
    768,777.75x = 1,682,351.44 × 1,682,351.44
  4. Step 4: Simplify right side
    768,777.75x = 2,830,306,359,258.32
  5. Step 5: Solve for x
    x = 2,830,306,359,258.32/768,777.75
  6. Step 6: Final answer
    x = 3,681,566.43

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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.