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Finding the Third Proportional to 697,266 and 981,882

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Solution

The third proportional to 697,266 and 981,882 is: 1,382,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,266 : 981,882 = 981,882 : x
  2. Step 2: Convert to fraction form
    697,266/981,882 = 981,882/x
  3. Step 3: Cross multiply
    697,266x = 981,882 × 981,882
  4. Step 4: Simplify right side
    697,266x = 964,092,261,924
  5. Step 5: Solve for x
    x = 964,092,261,924/697,266
  6. Step 6: Final answer
    x = 1,382,674.99

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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.