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Finding the Third Proportional to 519,469 and 829,866

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Solution

The third proportional to 519,469 and 829,866 is: 1,325,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,469 : 829,866 = 829,866 : x
  2. Step 2: Convert to fraction form
    519,469/829,866 = 829,866/x
  3. Step 3: Cross multiply
    519,469x = 829,866 × 829,866
  4. Step 4: Simplify right side
    519,469x = 688,677,577,956
  5. Step 5: Solve for x
    x = 688,677,577,956/519,469
  6. Step 6: Final answer
    x = 1,325,733.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.