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Finding the Third Proportional to 809,624.25 and 1,188,192.38

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Solution

The third proportional to 809,624.25 and 1,188,192.38 is: 1,743,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,624.25 : 1,188,192.38 = 1,188,192.38 : x
  2. Step 2: Convert to fraction form
    809,624.25/1,188,192.38 = 1,188,192.38/x
  3. Step 3: Cross multiply
    809,624.25x = 1,188,192.38 × 1,188,192.38
  4. Step 4: Simplify right side
    809,624.25x = 1,411,801,120,008.14
  5. Step 5: Solve for x
    x = 1,411,801,120,008.14/809,624.25
  6. Step 6: Final answer
    x = 1,743,773.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.