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Finding the Third Proportional to 449,649 and 978,596

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Solution

The third proportional to 449,649 and 978,596 is: 2,129,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,649 : 978,596 = 978,596 : x
  2. Step 2: Convert to fraction form
    449,649/978,596 = 978,596/x
  3. Step 3: Cross multiply
    449,649x = 978,596 × 978,596
  4. Step 4: Simplify right side
    449,649x = 957,650,131,216
  5. Step 5: Solve for x
    x = 957,650,131,216/449,649
  6. Step 6: Final answer
    x = 2,129,772.63

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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.