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Finding the Third Proportional to 534,296,589 and 817,335,267

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Solution

The third proportional to 534,296,589 and 817,335,267 is: 1,250,311,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,296,589 : 817,335,267 = 817,335,267 : x
  2. Step 2: Convert to fraction form
    534,296,589/817,335,267 = 817,335,267/x
  3. Step 3: Cross multiply
    534,296,589x = 817,335,267 × 817,335,267
  4. Step 4: Simplify right side
    534,296,589x = 668,036,938,681,961,344
  5. Step 5: Solve for x
    x = 668,036,938,681,961,344/534,296,589
  6. Step 6: Final answer
    x = 1,250,311,067.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.