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Finding the Third Proportional to 696,736 and 981,164

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Solution

The third proportional to 696,736 and 981,164 is: 1,381,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,736 : 981,164 = 981,164 : x
  2. Step 2: Convert to fraction form
    696,736/981,164 = 981,164/x
  3. Step 3: Cross multiply
    696,736x = 981,164 × 981,164
  4. Step 4: Simplify right side
    696,736x = 962,682,794,896
  5. Step 5: Solve for x
    x = 962,682,794,896/696,736
  6. Step 6: Final answer
    x = 1,381,703.82

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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.