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Finding the Third Proportional to 511,251.75 and 1,073,898

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Solution

The third proportional to 511,251.75 and 1,073,898 is: 2,255,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,251.75 : 1,073,898 = 1,073,898 : x
  2. Step 2: Convert to fraction form
    511,251.75/1,073,898 = 1,073,898/x
  3. Step 3: Cross multiply
    511,251.75x = 1,073,898 × 1,073,898
  4. Step 4: Simplify right side
    511,251.75x = 1,153,256,914,404
  5. Step 5: Solve for x
    x = 1,153,256,914,404/511,251.75
  6. Step 6: Final answer
    x = 2,255,751.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.