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Finding the Third Proportional to 387,214 and 838,771

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Solution

The third proportional to 387,214 and 838,771 is: 1,816,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,214 : 838,771 = 838,771 : x
  2. Step 2: Convert to fraction form
    387,214/838,771 = 838,771/x
  3. Step 3: Cross multiply
    387,214x = 838,771 × 838,771
  4. Step 4: Simplify right side
    387,214x = 703,536,790,441
  5. Step 5: Solve for x
    x = 703,536,790,441/387,214
  6. Step 6: Final answer
    x = 1,816,919.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.