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Finding the Third Proportional to 511,794 and 1,116,756

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Solution

The third proportional to 511,794 and 1,116,756 is: 2,436,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,794 : 1,116,756 = 1,116,756 : x
  2. Step 2: Convert to fraction form
    511,794/1,116,756 = 1,116,756/x
  3. Step 3: Cross multiply
    511,794x = 1,116,756 × 1,116,756
  4. Step 4: Simplify right side
    511,794x = 1,247,143,963,536
  5. Step 5: Solve for x
    x = 1,247,143,963,536/511,794
  6. Step 6: Final answer
    x = 2,436,808.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.