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Finding the Third Proportional to 823,252.50 and 1,777,725

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Solution

The third proportional to 823,252.50 and 1,777,725 is: 3,838,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,252.50 : 1,777,725 = 1,777,725 : x
  2. Step 2: Convert to fraction form
    823,252.50/1,777,725 = 1,777,725/x
  3. Step 3: Cross multiply
    823,252.50x = 1,777,725 × 1,777,725
  4. Step 4: Simplify right side
    823,252.50x = 3,160,306,175,625
  5. Step 5: Solve for x
    x = 3,160,306,175,625/823,252.50
  6. Step 6: Final answer
    x = 3,838,805.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.