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Finding the Third Proportional to 864,682 and 1,231,756

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Solution

The third proportional to 864,682 and 1,231,756 is: 1,754,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,682 : 1,231,756 = 1,231,756 : x
  2. Step 2: Convert to fraction form
    864,682/1,231,756 = 1,231,756/x
  3. Step 3: Cross multiply
    864,682x = 1,231,756 × 1,231,756
  4. Step 4: Simplify right side
    864,682x = 1,517,222,843,536
  5. Step 5: Solve for x
    x = 1,517,222,843,536/864,682
  6. Step 6: Final answer
    x = 1,754,659.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.