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Finding the Third Proportional to 449,670 and 978,636

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Solution

The third proportional to 449,670 and 978,636 is: 2,129,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,670 : 978,636 = 978,636 : x
  2. Step 2: Convert to fraction form
    449,670/978,636 = 978,636/x
  3. Step 3: Cross multiply
    449,670x = 978,636 × 978,636
  4. Step 4: Simplify right side
    449,670x = 957,728,420,496
  5. Step 5: Solve for x
    x = 957,728,420,496/449,670
  6. Step 6: Final answer
    x = 2,129,847.27

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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.