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Finding the Third Proportional to 828,947.25 and 1,318,149.75

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Solution

The third proportional to 828,947.25 and 1,318,149.75 is: 2,096,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,947.25 : 1,318,149.75 = 1,318,149.75 : x
  2. Step 2: Convert to fraction form
    828,947.25/1,318,149.75 = 1,318,149.75/x
  3. Step 3: Cross multiply
    828,947.25x = 1,318,149.75 × 1,318,149.75
  4. Step 4: Simplify right side
    828,947.25x = 1,737,518,763,425.06
  5. Step 5: Solve for x
    x = 1,737,518,763,425.06/828,947.25
  6. Step 6: Final answer
    x = 2,096,054.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.