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Finding the Third Proportional to 395,019 and 875,451

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Solution

The third proportional to 395,019 and 875,451 is: 1,940,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,019 : 875,451 = 875,451 : x
  2. Step 2: Convert to fraction form
    395,019/875,451 = 875,451/x
  3. Step 3: Cross multiply
    395,019x = 875,451 × 875,451
  4. Step 4: Simplify right side
    395,019x = 766,414,453,401
  5. Step 5: Solve for x
    x = 766,414,453,401/395,019
  6. Step 6: Final answer
    x = 1,940,196.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.