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Finding the Third Proportional to 388,622 and 836,293

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Solution

The third proportional to 388,622 and 836,293 is: 1,799,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,622 : 836,293 = 836,293 : x
  2. Step 2: Convert to fraction form
    388,622/836,293 = 836,293/x
  3. Step 3: Cross multiply
    388,622x = 836,293 × 836,293
  4. Step 4: Simplify right side
    388,622x = 699,385,981,849
  5. Step 5: Solve for x
    x = 699,385,981,849/388,622
  6. Step 6: Final answer
    x = 1,799,656.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.