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Finding the Third Proportional to 511,392 and 1,112,016

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Solution

The third proportional to 511,392 and 1,112,016 is: 2,418,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,392 : 1,112,016 = 1,112,016 : x
  2. Step 2: Convert to fraction form
    511,392/1,112,016 = 1,112,016/x
  3. Step 3: Cross multiply
    511,392x = 1,112,016 × 1,112,016
  4. Step 4: Simplify right side
    511,392x = 1,236,579,584,256
  5. Step 5: Solve for x
    x = 1,236,579,584,256/511,392
  6. Step 6: Final answer
    x = 2,418,065.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.