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Finding the Third Proportional to 445,851 and 962,766

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Solution

The third proportional to 445,851 and 962,766 is: 2,078,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,851 : 962,766 = 962,766 : x
  2. Step 2: Convert to fraction form
    445,851/962,766 = 962,766/x
  3. Step 3: Cross multiply
    445,851x = 962,766 × 962,766
  4. Step 4: Simplify right side
    445,851x = 926,918,370,756
  5. Step 5: Solve for x
    x = 926,918,370,756/445,851
  6. Step 6: Final answer
    x = 2,078,986.86

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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.