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Finding the Third Proportional to 696,872 and 981,381

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Solution

The third proportional to 696,872 and 981,381 is: 1,382,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,872 : 981,381 = 981,381 : x
  2. Step 2: Convert to fraction form
    696,872/981,381 = 981,381/x
  3. Step 3: Cross multiply
    696,872x = 981,381 × 981,381
  4. Step 4: Simplify right side
    696,872x = 963,108,667,161
  5. Step 5: Solve for x
    x = 963,108,667,161/696,872
  6. Step 6: Final answer
    x = 1,382,045.29

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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.