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Finding the Third Proportional to 409,184 and 875,212

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Solution

The third proportional to 409,184 and 875,212 is: 1,872,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,184 : 875,212 = 875,212 : x
  2. Step 2: Convert to fraction form
    409,184/875,212 = 875,212/x
  3. Step 3: Cross multiply
    409,184x = 875,212 × 875,212
  4. Step 4: Simplify right side
    409,184x = 765,996,044,944
  5. Step 5: Solve for x
    x = 765,996,044,944/409,184
  6. Step 6: Final answer
    x = 1,872,008.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.