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Finding the Third Proportional to 378,963 and 810,441

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Solution

The third proportional to 378,963 and 810,441 is: 1,733,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,963 : 810,441 = 810,441 : x
  2. Step 2: Convert to fraction form
    378,963/810,441 = 810,441/x
  3. Step 3: Cross multiply
    378,963x = 810,441 × 810,441
  4. Step 4: Simplify right side
    378,963x = 656,814,614,481
  5. Step 5: Solve for x
    x = 656,814,614,481/378,963
  6. Step 6: Final answer
    x = 1,733,189.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.