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Finding the Third Proportional to 827,083.13 and 1,801,314

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Solution

The third proportional to 827,083.13 and 1,801,314 is: 3,923,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,083.13 : 1,801,314 = 1,801,314 : x
  2. Step 2: Convert to fraction form
    827,083.13/1,801,314 = 1,801,314/x
  3. Step 3: Cross multiply
    827,083.13x = 1,801,314 × 1,801,314
  4. Step 4: Simplify right side
    827,083.13x = 3,244,732,126,596
  5. Step 5: Solve for x
    x = 3,244,732,126,596/827,083.13
  6. Step 6: Final answer
    x = 3,923,102.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.