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Finding the Third Proportional to 519,384 and 811,882

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Solution

The third proportional to 519,384 and 811,882 is: 1,269,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,384 : 811,882 = 811,882 : x
  2. Step 2: Convert to fraction form
    519,384/811,882 = 811,882/x
  3. Step 3: Cross multiply
    519,384x = 811,882 × 811,882
  4. Step 4: Simplify right side
    519,384x = 659,152,381,924
  5. Step 5: Solve for x
    x = 659,152,381,924/519,384
  6. Step 6: Final answer
    x = 1,269,104.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.