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Finding the Third Proportional to 511,893 and 1,102,281.75

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Solution

The third proportional to 511,893 and 1,102,281.75 is: 2,373,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,893 : 1,102,281.75 = 1,102,281.75 : x
  2. Step 2: Convert to fraction form
    511,893/1,102,281.75 = 1,102,281.75/x
  3. Step 3: Cross multiply
    511,893x = 1,102,281.75 × 1,102,281.75
  4. Step 4: Simplify right side
    511,893x = 1,215,025,056,383.06
  5. Step 5: Solve for x
    x = 1,215,025,056,383.06/511,893
  6. Step 6: Final answer
    x = 2,373,591.86

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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.