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Finding the Third Proportional to 696,806 and 981,212

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Solution

The third proportional to 696,806 and 981,212 is: 1,381,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,806 : 981,212 = 981,212 : x
  2. Step 2: Convert to fraction form
    696,806/981,212 = 981,212/x
  3. Step 3: Cross multiply
    696,806x = 981,212 × 981,212
  4. Step 4: Simplify right side
    696,806x = 962,776,988,944
  5. Step 5: Solve for x
    x = 962,776,988,944/696,806
  6. Step 6: Final answer
    x = 1,381,700.20

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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.