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Finding the Third Proportional to 823,676 and 1,804,816

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Solution

The third proportional to 823,676 and 1,804,816 is: 3,954,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,676 : 1,804,816 = 1,804,816 : x
  2. Step 2: Convert to fraction form
    823,676/1,804,816 = 1,804,816/x
  3. Step 3: Cross multiply
    823,676x = 1,804,816 × 1,804,816
  4. Step 4: Simplify right side
    823,676x = 3,257,360,793,856
  5. Step 5: Solve for x
    x = 3,257,360,793,856/823,676
  6. Step 6: Final answer
    x = 3,954,662.75

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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.