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Finding the Third Proportional to 1,204,133 and 1,651,197

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Solution

The third proportional to 1,204,133 and 1,651,197 is: 2,264,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,133 : 1,651,197 = 1,651,197 : x
  2. Step 2: Convert to fraction form
    1,204,133/1,651,197 = 1,651,197/x
  3. Step 3: Cross multiply
    1,204,133x = 1,651,197 × 1,651,197
  4. Step 4: Simplify right side
    1,204,133x = 2,726,451,532,809
  5. Step 5: Solve for x
    x = 2,726,451,532,809/1,204,133
  6. Step 6: Final answer
    x = 2,264,244.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.