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Finding the Third Proportional to 431,667 and 948,991

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Solution

The third proportional to 431,667 and 948,991 is: 2,086,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,667 : 948,991 = 948,991 : x
  2. Step 2: Convert to fraction form
    431,667/948,991 = 948,991/x
  3. Step 3: Cross multiply
    431,667x = 948,991 × 948,991
  4. Step 4: Simplify right side
    431,667x = 900,583,918,081
  5. Step 5: Solve for x
    x = 900,583,918,081/431,667
  6. Step 6: Final answer
    x = 2,086,293.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.