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Finding the Third Proportional to 763,539 and 1,659,864

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Solution

The third proportional to 763,539 and 1,659,864 is: 3,608,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,539 : 1,659,864 = 1,659,864 : x
  2. Step 2: Convert to fraction form
    763,539/1,659,864 = 1,659,864/x
  3. Step 3: Cross multiply
    763,539x = 1,659,864 × 1,659,864
  4. Step 4: Simplify right side
    763,539x = 2,755,148,498,496
  5. Step 5: Solve for x
    x = 2,755,148,498,496/763,539
  6. Step 6: Final answer
    x = 3,608,392.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.