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Finding the Third Proportional to 823,658 and 1,804,780

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Solution

The third proportional to 823,658 and 1,804,780 is: 3,954,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,658 : 1,804,780 = 1,804,780 : x
  2. Step 2: Convert to fraction form
    823,658/1,804,780 = 1,804,780/x
  3. Step 3: Cross multiply
    823,658x = 1,804,780 × 1,804,780
  4. Step 4: Simplify right side
    823,658x = 3,257,230,848,400
  5. Step 5: Solve for x
    x = 3,257,230,848,400/823,658
  6. Step 6: Final answer
    x = 3,954,591.41

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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.