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Finding the Third Proportional to 981,168 and 2,119,824

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Solution

The third proportional to 981,168 and 2,119,824 is: 4,579,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,168 : 2,119,824 = 2,119,824 : x
  2. Step 2: Convert to fraction form
    981,168/2,119,824 = 2,119,824/x
  3. Step 3: Cross multiply
    981,168x = 2,119,824 × 2,119,824
  4. Step 4: Simplify right side
    981,168x = 4,493,653,790,976
  5. Step 5: Solve for x
    x = 4,493,653,790,976/981,168
  6. Step 6: Final answer
    x = 4,579,902.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.