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Finding the Third Proportional to 403,929 and 875,174

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Solution

The third proportional to 403,929 and 875,174 is: 1,896,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,929 : 875,174 = 875,174 : x
  2. Step 2: Convert to fraction form
    403,929/875,174 = 875,174/x
  3. Step 3: Cross multiply
    403,929x = 875,174 × 875,174
  4. Step 4: Simplify right side
    403,929x = 765,929,530,276
  5. Step 5: Solve for x
    x = 765,929,530,276/403,929
  6. Step 6: Final answer
    x = 1,896,198.42

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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.