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Finding the Third Proportional to 823,698 and 1,804,860

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Solution

The third proportional to 823,698 and 1,804,860 is: 3,954,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,698 : 1,804,860 = 1,804,860 : x
  2. Step 2: Convert to fraction form
    823,698/1,804,860 = 1,804,860/x
  3. Step 3: Cross multiply
    823,698x = 1,804,860 × 1,804,860
  4. Step 4: Simplify right side
    823,698x = 3,257,519,619,600
  5. Step 5: Solve for x
    x = 3,257,519,619,600/823,698
  6. Step 6: Final answer
    x = 3,954,749.94

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