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Finding the Third Proportional to 809,367 and 1,187,805

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Solution

The third proportional to 809,367 and 1,187,805 is: 1,743,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,367 : 1,187,805 = 1,187,805 : x
  2. Step 2: Convert to fraction form
    809,367/1,187,805 = 1,187,805/x
  3. Step 3: Cross multiply
    809,367x = 1,187,805 × 1,187,805
  4. Step 4: Simplify right side
    809,367x = 1,410,880,718,025
  5. Step 5: Solve for x
    x = 1,410,880,718,025/809,367
  6. Step 6: Final answer
    x = 1,743,190.32

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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.