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Finding the Third Proportional to 445,593 and 962,211

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Solution

The third proportional to 445,593 and 962,211 is: 2,077,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,593 : 962,211 = 962,211 : x
  2. Step 2: Convert to fraction form
    445,593/962,211 = 962,211/x
  3. Step 3: Cross multiply
    445,593x = 962,211 × 962,211
  4. Step 4: Simplify right side
    445,593x = 925,850,008,521
  5. Step 5: Solve for x
    x = 925,850,008,521/445,593
  6. Step 6: Final answer
    x = 2,077,792.98

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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.