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Finding the Third Proportional to 809,646.75 and 1,188,198

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Solution

The third proportional to 809,646.75 and 1,188,198 is: 1,743,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,646.75 : 1,188,198 = 1,188,198 : x
  2. Step 2: Convert to fraction form
    809,646.75/1,188,198 = 1,188,198/x
  3. Step 3: Cross multiply
    809,646.75x = 1,188,198 × 1,188,198
  4. Step 4: Simplify right side
    809,646.75x = 1,411,814,487,204
  5. Step 5: Solve for x
    x = 1,411,814,487,204/809,646.75
  6. Step 6: Final answer
    x = 1,743,741.31

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