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Finding the Third Proportional to 406,981 and 886,286

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Solution

The third proportional to 406,981 and 886,286 is: 1,930,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,981 : 886,286 = 886,286 : x
  2. Step 2: Convert to fraction form
    406,981/886,286 = 886,286/x
  3. Step 3: Cross multiply
    406,981x = 886,286 × 886,286
  4. Step 4: Simplify right side
    406,981x = 785,502,873,796
  5. Step 5: Solve for x
    x = 785,502,873,796/406,981
  6. Step 6: Final answer
    x = 1,930,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.