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Finding the Third Proportional to 827,006.25 and 1,780,725.75

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Solution

The third proportional to 827,006.25 and 1,780,725.75 is: 3,834,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,006.25 : 1,780,725.75 = 1,780,725.75 : x
  2. Step 2: Convert to fraction form
    827,006.25/1,780,725.75 = 1,780,725.75/x
  3. Step 3: Cross multiply
    827,006.25x = 1,780,725.75 × 1,780,725.75
  4. Step 4: Simplify right side
    827,006.25x = 3,170,984,196,713.06
  5. Step 5: Solve for x
    x = 3,170,984,196,713.06/827,006.25
  6. Step 6: Final answer
    x = 3,834,292.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.