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Finding the Third Proportional to 823,338 and 1,802,196

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Solution

The third proportional to 823,338 and 1,802,196 is: 3,944,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,338 : 1,802,196 = 1,802,196 : x
  2. Step 2: Convert to fraction form
    823,338/1,802,196 = 1,802,196/x
  3. Step 3: Cross multiply
    823,338x = 1,802,196 × 1,802,196
  4. Step 4: Simplify right side
    823,338x = 3,247,910,422,416
  5. Step 5: Solve for x
    x = 3,247,910,422,416/823,338
  6. Step 6: Final answer
    x = 3,944,808.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.