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Finding the Third Proportional to 395,018 and 875,449

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Solution

The third proportional to 395,018 and 875,449 is: 1,940,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,018 : 875,449 = 875,449 : x
  2. Step 2: Convert to fraction form
    395,018/875,449 = 875,449/x
  3. Step 3: Cross multiply
    395,018x = 875,449 × 875,449
  4. Step 4: Simplify right side
    395,018x = 766,410,951,601
  5. Step 5: Solve for x
    x = 766,410,951,601/395,018
  6. Step 6: Final answer
    x = 1,940,192.48

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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.