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Finding the Third Proportional to 784,736 and 1,179,504

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Solution

The third proportional to 784,736 and 1,179,504 is: 1,772,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,736 : 1,179,504 = 1,179,504 : x
  2. Step 2: Convert to fraction form
    784,736/1,179,504 = 1,179,504/x
  3. Step 3: Cross multiply
    784,736x = 1,179,504 × 1,179,504
  4. Step 4: Simplify right side
    784,736x = 1,391,229,686,016
  5. Step 5: Solve for x
    x = 1,391,229,686,016/784,736
  6. Step 6: Final answer
    x = 1,772,863.34

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