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Finding the Third Proportional to 823,833 and 1,197,954

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Solution

The third proportional to 823,833 and 1,197,954 is: 1,741,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,833 : 1,197,954 = 1,197,954 : x
  2. Step 2: Convert to fraction form
    823,833/1,197,954 = 1,197,954/x
  3. Step 3: Cross multiply
    823,833x = 1,197,954 × 1,197,954
  4. Step 4: Simplify right side
    823,833x = 1,435,093,786,116
  5. Step 5: Solve for x
    x = 1,435,093,786,116/823,833
  6. Step 6: Final answer
    x = 1,741,971.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.