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Finding the Third Proportional to 511,005 and 1,074,930

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Solution

The third proportional to 511,005 and 1,074,930 is: 2,261,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,005 : 1,074,930 = 1,074,930 : x
  2. Step 2: Convert to fraction form
    511,005/1,074,930 = 1,074,930/x
  3. Step 3: Cross multiply
    511,005x = 1,074,930 × 1,074,930
  4. Step 4: Simplify right side
    511,005x = 1,155,474,504,900
  5. Step 5: Solve for x
    x = 1,155,474,504,900/511,005
  6. Step 6: Final answer
    x = 2,261,180.43

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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.