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Finding the Third Proportional to 434,016 and 940,203

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Solution

The third proportional to 434,016 and 940,203 is: 2,036,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,016 : 940,203 = 940,203 : x
  2. Step 2: Convert to fraction form
    434,016/940,203 = 940,203/x
  3. Step 3: Cross multiply
    434,016x = 940,203 × 940,203
  4. Step 4: Simplify right side
    434,016x = 883,981,681,209
  5. Step 5: Solve for x
    x = 883,981,681,209/434,016
  6. Step 6: Final answer
    x = 2,036,749.06

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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.