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Finding the Third Proportional to 512,281.13 and 1,113,134.06

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Solution

The third proportional to 512,281.13 and 1,113,134.06 is: 2,418,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,281.13 : 1,113,134.06 = 1,113,134.06 : x
  2. Step 2: Convert to fraction form
    512,281.13/1,113,134.06 = 1,113,134.06/x
  3. Step 3: Cross multiply
    512,281.13x = 1,113,134.06 × 1,113,134.06
  4. Step 4: Simplify right side
    512,281.13x = 1,239,067,441,097.75
  5. Step 5: Solve for x
    x = 1,239,067,441,097.75/512,281.13
  6. Step 6: Final answer
    x = 2,418,725.54

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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.