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Finding the Third Proportional to 768,975 and 1,651,782

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Solution

The third proportional to 768,975 and 1,651,782 is: 3,548,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,975 : 1,651,782 = 1,651,782 : x
  2. Step 2: Convert to fraction form
    768,975/1,651,782 = 1,651,782/x
  3. Step 3: Cross multiply
    768,975x = 1,651,782 × 1,651,782
  4. Step 4: Simplify right side
    768,975x = 2,728,383,775,524
  5. Step 5: Solve for x
    x = 2,728,383,775,524/768,975
  6. Step 6: Final answer
    x = 3,548,078.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.