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Finding the Third Proportional to 450,106 and 981,092

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Solution

The third proportional to 450,106 and 981,092 is: 2,138,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,106 : 981,092 = 981,092 : x
  2. Step 2: Convert to fraction form
    450,106/981,092 = 981,092/x
  3. Step 3: Cross multiply
    450,106x = 981,092 × 981,092
  4. Step 4: Simplify right side
    450,106x = 962,541,512,464
  5. Step 5: Solve for x
    x = 962,541,512,464/450,106
  6. Step 6: Final answer
    x = 2,138,477.41

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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.