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Finding the Third Proportional to 433,192 and 950,081

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Solution

The third proportional to 433,192 and 950,081 is: 2,083,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,192 : 950,081 = 950,081 : x
  2. Step 2: Convert to fraction form
    433,192/950,081 = 950,081/x
  3. Step 3: Cross multiply
    433,192x = 950,081 × 950,081
  4. Step 4: Simplify right side
    433,192x = 902,653,906,561
  5. Step 5: Solve for x
    x = 902,653,906,561/433,192
  6. Step 6: Final answer
    x = 2,083,727.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.