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Finding the Third Proportional to 447,867 and 937,215

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Solution

The third proportional to 447,867 and 937,215 is: 1,961,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,867 : 937,215 = 937,215 : x
  2. Step 2: Convert to fraction form
    447,867/937,215 = 937,215/x
  3. Step 3: Cross multiply
    447,867x = 937,215 × 937,215
  4. Step 4: Simplify right side
    447,867x = 878,371,956,225
  5. Step 5: Solve for x
    x = 878,371,956,225/447,867
  6. Step 6: Final answer
    x = 1,961,233.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.