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Finding the Third Proportional to 796,112 and 1,193,676

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Solution

The third proportional to 796,112 and 1,193,676 is: 1,789,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,112 : 1,193,676 = 1,193,676 : x
  2. Step 2: Convert to fraction form
    796,112/1,193,676 = 1,193,676/x
  3. Step 3: Cross multiply
    796,112x = 1,193,676 × 1,193,676
  4. Step 4: Simplify right side
    796,112x = 1,424,862,392,976
  5. Step 5: Solve for x
    x = 1,424,862,392,976/796,112
  6. Step 6: Final answer
    x = 1,789,776.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.