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Finding the Third Proportional to 381,186 and 836,100

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Solution

The third proportional to 381,186 and 836,100 is: 1,833,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,186 : 836,100 = 836,100 : x
  2. Step 2: Convert to fraction form
    381,186/836,100 = 836,100/x
  3. Step 3: Cross multiply
    381,186x = 836,100 × 836,100
  4. Step 4: Simplify right side
    381,186x = 699,063,210,000
  5. Step 5: Solve for x
    x = 699,063,210,000/381,186
  6. Step 6: Final answer
    x = 1,833,916.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.