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Finding the Third Proportional to 481,800 and 1,017,864

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Solution

The third proportional to 481,800 and 1,017,864 is: 2,150,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,800 : 1,017,864 = 1,017,864 : x
  2. Step 2: Convert to fraction form
    481,800/1,017,864 = 1,017,864/x
  3. Step 3: Cross multiply
    481,800x = 1,017,864 × 1,017,864
  4. Step 4: Simplify right side
    481,800x = 1,036,047,122,496
  5. Step 5: Solve for x
    x = 1,036,047,122,496/481,800
  6. Step 6: Final answer
    x = 2,150,367.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.