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Finding the Third Proportional to 696,744 and 981,174

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Solution

The third proportional to 696,744 and 981,174 is: 1,381,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,744 : 981,174 = 981,174 : x
  2. Step 2: Convert to fraction form
    696,744/981,174 = 981,174/x
  3. Step 3: Cross multiply
    696,744x = 981,174 × 981,174
  4. Step 4: Simplify right side
    696,744x = 962,702,418,276
  5. Step 5: Solve for x
    x = 962,702,418,276/696,744
  6. Step 6: Final answer
    x = 1,381,716.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.