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Finding the Third Proportional to 1,214,084 and 2,642,197

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Solution

The third proportional to 1,214,084 and 2,642,197 is: 5,750,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,084 : 2,642,197 = 2,642,197 : x
  2. Step 2: Convert to fraction form
    1,214,084/2,642,197 = 2,642,197/x
  3. Step 3: Cross multiply
    1,214,084x = 2,642,197 × 2,642,197
  4. Step 4: Simplify right side
    1,214,084x = 6,981,204,986,809
  5. Step 5: Solve for x
    x = 6,981,204,986,809/1,214,084
  6. Step 6: Final answer
    x = 5,750,182.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.