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Finding the Third Proportional to 519,469 and 829,847

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Solution

The third proportional to 519,469 and 829,847 is: 1,325,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,469 : 829,847 = 829,847 : x
  2. Step 2: Convert to fraction form
    519,469/829,847 = 829,847/x
  3. Step 3: Cross multiply
    519,469x = 829,847 × 829,847
  4. Step 4: Simplify right side
    519,469x = 688,646,043,409
  5. Step 5: Solve for x
    x = 688,646,043,409/519,469
  6. Step 6: Final answer
    x = 1,325,673.03

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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.