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Finding the Third Proportional to 508,174 and 1,003,496

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Solution

The third proportional to 508,174 and 1,003,496 is: 1,981,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,174 : 1,003,496 = 1,003,496 : x
  2. Step 2: Convert to fraction form
    508,174/1,003,496 = 1,003,496/x
  3. Step 3: Cross multiply
    508,174x = 1,003,496 × 1,003,496
  4. Step 4: Simplify right side
    508,174x = 1,007,004,222,016
  5. Step 5: Solve for x
    x = 1,007,004,222,016/508,174
  6. Step 6: Final answer
    x = 1,981,613.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.