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Finding the Third Proportional to 446,267 and 981,109

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Solution

The third proportional to 446,267 and 981,109 is: 2,156,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,267 : 981,109 = 981,109 : x
  2. Step 2: Convert to fraction form
    446,267/981,109 = 981,109/x
  3. Step 3: Cross multiply
    446,267x = 981,109 × 981,109
  4. Step 4: Simplify right side
    446,267x = 962,574,869,881
  5. Step 5: Solve for x
    x = 962,574,869,881/446,267
  6. Step 6: Final answer
    x = 2,156,948.35

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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.