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Finding the Third Proportional to 481,065 and 1,039,215

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Solution

The third proportional to 481,065 and 1,039,215 is: 2,244,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,065 : 1,039,215 = 1,039,215 : x
  2. Step 2: Convert to fraction form
    481,065/1,039,215 = 1,039,215/x
  3. Step 3: Cross multiply
    481,065x = 1,039,215 × 1,039,215
  4. Step 4: Simplify right side
    481,065x = 1,079,967,816,225
  5. Step 5: Solve for x
    x = 1,079,967,816,225/481,065
  6. Step 6: Final answer
    x = 2,244,951.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.