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Finding the Third Proportional to 378,882 and 829,116

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Solution

The third proportional to 378,882 and 829,116 is: 1,814,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,882 : 829,116 = 829,116 : x
  2. Step 2: Convert to fraction form
    378,882/829,116 = 829,116/x
  3. Step 3: Cross multiply
    378,882x = 829,116 × 829,116
  4. Step 4: Simplify right side
    378,882x = 687,433,341,456
  5. Step 5: Solve for x
    x = 687,433,341,456/378,882
  6. Step 6: Final answer
    x = 1,814,373.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.