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Finding the Third Proportional to 387,884 and 822,720

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Solution

The third proportional to 387,884 and 822,720 is: 1,745,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,884 : 822,720 = 822,720 : x
  2. Step 2: Convert to fraction form
    387,884/822,720 = 822,720/x
  3. Step 3: Cross multiply
    387,884x = 822,720 × 822,720
  4. Step 4: Simplify right side
    387,884x = 676,868,198,400
  5. Step 5: Solve for x
    x = 676,868,198,400/387,884
  6. Step 6: Final answer
    x = 1,745,027.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.