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Finding the Third Proportional to 823,828 and 1,239,954

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Solution

The third proportional to 823,828 and 1,239,954 is: 1,866,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,828 : 1,239,954 = 1,239,954 : x
  2. Step 2: Convert to fraction form
    823,828/1,239,954 = 1,239,954/x
  3. Step 3: Cross multiply
    823,828x = 1,239,954 × 1,239,954
  4. Step 4: Simplify right side
    823,828x = 1,537,485,922,116
  5. Step 5: Solve for x
    x = 1,537,485,922,116/823,828
  6. Step 6: Final answer
    x = 1,866,270.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.