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Finding the Third Proportional to 449,766 and 966,234

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Solution

The third proportional to 449,766 and 966,234 is: 2,075,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,766 : 966,234 = 966,234 : x
  2. Step 2: Convert to fraction form
    449,766/966,234 = 966,234/x
  3. Step 3: Cross multiply
    449,766x = 966,234 × 966,234
  4. Step 4: Simplify right side
    449,766x = 933,608,142,756
  5. Step 5: Solve for x
    x = 933,608,142,756/449,766
  6. Step 6: Final answer
    x = 2,075,764.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.