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Finding the Third Proportional to 449,949 and 978,630

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Solution

The third proportional to 449,949 and 978,630 is: 2,128,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,949 : 978,630 = 978,630 : x
  2. Step 2: Convert to fraction form
    449,949/978,630 = 978,630/x
  3. Step 3: Cross multiply
    449,949x = 978,630 × 978,630
  4. Step 4: Simplify right side
    449,949x = 957,716,676,900
  5. Step 5: Solve for x
    x = 957,716,676,900/449,949
  6. Step 6: Final answer
    x = 2,128,500.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.