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Finding the Third Proportional to 696,890 and 981,393

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Solution

The third proportional to 696,890 and 981,393 is: 1,382,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,890 : 981,393 = 981,393 : x
  2. Step 2: Convert to fraction form
    696,890/981,393 = 981,393/x
  3. Step 3: Cross multiply
    696,890x = 981,393 × 981,393
  4. Step 4: Simplify right side
    696,890x = 963,132,220,449
  5. Step 5: Solve for x
    x = 963,132,220,449/696,890
  6. Step 6: Final answer
    x = 1,382,043.39

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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.