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Finding the Third Proportional to 823,716 and 1,804,896

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Solution

The third proportional to 823,716 and 1,804,896 is: 3,954,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,716 : 1,804,896 = 1,804,896 : x
  2. Step 2: Convert to fraction form
    823,716/1,804,896 = 1,804,896/x
  3. Step 3: Cross multiply
    823,716x = 1,804,896 × 1,804,896
  4. Step 4: Simplify right side
    823,716x = 3,257,649,570,816
  5. Step 5: Solve for x
    x = 3,257,649,570,816/823,716
  6. Step 6: Final answer
    x = 3,954,821.29

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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.