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Finding the Third Proportional to 807,722 and 1,254,195

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Solution

The third proportional to 807,722 and 1,254,195 is: 1,947,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,722 : 1,254,195 = 1,254,195 : x
  2. Step 2: Convert to fraction form
    807,722/1,254,195 = 1,254,195/x
  3. Step 3: Cross multiply
    807,722x = 1,254,195 × 1,254,195
  4. Step 4: Simplify right side
    807,722x = 1,573,005,098,025
  5. Step 5: Solve for x
    x = 1,573,005,098,025/807,722
  6. Step 6: Final answer
    x = 1,947,458.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.