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Finding the Third Proportional to 696,882 and 981,396

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Solution

The third proportional to 696,882 and 981,396 is: 1,382,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,882 : 981,396 = 981,396 : x
  2. Step 2: Convert to fraction form
    696,882/981,396 = 981,396/x
  3. Step 3: Cross multiply
    696,882x = 981,396 × 981,396
  4. Step 4: Simplify right side
    696,882x = 963,138,108,816
  5. Step 5: Solve for x
    x = 963,138,108,816/696,882
  6. Step 6: Final answer
    x = 1,382,067.71

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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.