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Finding the Third Proportional to 1,969,418.50 and 4,274,954

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Solution

The third proportional to 1,969,418.50 and 4,274,954 is: 9,279,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,418.50 : 4,274,954 = 4,274,954 : x
  2. Step 2: Convert to fraction form
    1,969,418.50/4,274,954 = 4,274,954/x
  3. Step 3: Cross multiply
    1,969,418.50x = 4,274,954 × 4,274,954
  4. Step 4: Simplify right side
    1,969,418.50x = 18,275,231,702,116
  5. Step 5: Solve for x
    x = 18,275,231,702,116/1,969,418.50
  6. Step 6: Final answer
    x = 9,279,506.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.