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Finding the Third Proportional to 781,104 and 1,179,993

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Solution

The third proportional to 781,104 and 1,179,993 is: 1,782,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,104 : 1,179,993 = 1,179,993 : x
  2. Step 2: Convert to fraction form
    781,104/1,179,993 = 1,179,993/x
  3. Step 3: Cross multiply
    781,104x = 1,179,993 × 1,179,993
  4. Step 4: Simplify right side
    781,104x = 1,392,383,480,049
  5. Step 5: Solve for x
    x = 1,392,383,480,049/781,104
  6. Step 6: Final answer
    x = 1,782,583.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.