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Finding the Third Proportional to 519,814 and 783,561

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Solution

The third proportional to 519,814 and 783,561 is: 1,181,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,814 : 783,561 = 783,561 : x
  2. Step 2: Convert to fraction form
    519,814/783,561 = 783,561/x
  3. Step 3: Cross multiply
    519,814x = 783,561 × 783,561
  4. Step 4: Simplify right side
    519,814x = 613,967,840,721
  5. Step 5: Solve for x
    x = 613,967,840,721/519,814
  6. Step 6: Final answer
    x = 1,181,129.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.