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Finding the Third Proportional to 446,436 and 981,324

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Solution

The third proportional to 446,436 and 981,324 is: 2,157,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,436 : 981,324 = 981,324 : x
  2. Step 2: Convert to fraction form
    446,436/981,324 = 981,324/x
  3. Step 3: Cross multiply
    446,436x = 981,324 × 981,324
  4. Step 4: Simplify right side
    446,436x = 962,996,792,976
  5. Step 5: Solve for x
    x = 962,996,792,976/446,436
  6. Step 6: Final answer
    x = 2,157,076.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.