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Finding the Third Proportional to 696,876 and 981,387

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Solution

The third proportional to 696,876 and 981,387 is: 1,382,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,876 : 981,387 = 981,387 : x
  2. Step 2: Convert to fraction form
    696,876/981,387 = 981,387/x
  3. Step 3: Cross multiply
    696,876x = 981,387 × 981,387
  4. Step 4: Simplify right side
    696,876x = 963,120,443,769
  5. Step 5: Solve for x
    x = 963,120,443,769/696,876
  6. Step 6: Final answer
    x = 1,382,054.26

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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.