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Finding the Third Proportional to 823,680 and 1,804,824

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Solution

The third proportional to 823,680 and 1,804,824 is: 3,954,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,680 : 1,804,824 = 1,804,824 : x
  2. Step 2: Convert to fraction form
    823,680/1,804,824 = 1,804,824/x
  3. Step 3: Cross multiply
    823,680x = 1,804,824 × 1,804,824
  4. Step 4: Simplify right side
    823,680x = 3,257,389,670,976
  5. Step 5: Solve for x
    x = 3,257,389,670,976/823,680
  6. Step 6: Final answer
    x = 3,954,678.60

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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.