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Finding the Third Proportional to 519,372 and 811,863

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Solution

The third proportional to 519,372 and 811,863 is: 1,269,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,372 : 811,863 = 811,863 : x
  2. Step 2: Convert to fraction form
    519,372/811,863 = 811,863/x
  3. Step 3: Cross multiply
    519,372x = 811,863 × 811,863
  4. Step 4: Simplify right side
    519,372x = 659,121,530,769
  5. Step 5: Solve for x
    x = 659,121,530,769/519,372
  6. Step 6: Final answer
    x = 1,269,074.06

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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.