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Finding the Third Proportional to 823,674 and 1,804,812

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Solution

The third proportional to 823,674 and 1,804,812 is: 3,954,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,674 : 1,804,812 = 1,804,812 : x
  2. Step 2: Convert to fraction form
    823,674/1,804,812 = 1,804,812/x
  3. Step 3: Cross multiply
    823,674x = 1,804,812 × 1,804,812
  4. Step 4: Simplify right side
    823,674x = 3,257,346,355,344
  5. Step 5: Solve for x
    x = 3,257,346,355,344/823,674
  6. Step 6: Final answer
    x = 3,954,654.82

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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.