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Finding the Third Proportional to 511,974 and 1,102,437

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Solution

The third proportional to 511,974 and 1,102,437 is: 2,373,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,974 : 1,102,437 = 1,102,437 : x
  2. Step 2: Convert to fraction form
    511,974/1,102,437 = 1,102,437/x
  3. Step 3: Cross multiply
    511,974x = 1,102,437 × 1,102,437
  4. Step 4: Simplify right side
    511,974x = 1,215,367,338,969
  5. Step 5: Solve for x
    x = 1,215,367,338,969/511,974
  6. Step 6: Final answer
    x = 2,373,884.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.