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Finding the Third Proportional to 409,736 and 886,864

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Solution

The third proportional to 409,736 and 886,864 is: 1,919,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,736 : 886,864 = 886,864 : x
  2. Step 2: Convert to fraction form
    409,736/886,864 = 886,864/x
  3. Step 3: Cross multiply
    409,736x = 886,864 × 886,864
  4. Step 4: Simplify right side
    409,736x = 786,527,754,496
  5. Step 5: Solve for x
    x = 786,527,754,496/409,736
  6. Step 6: Final answer
    x = 1,919,596.41

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Why These Related Problems?

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