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Finding the Third Proportional to 449,908 and 978,546

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Solution

The third proportional to 449,908 and 978,546 is: 2,128,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,908 : 978,546 = 978,546 : x
  2. Step 2: Convert to fraction form
    449,908/978,546 = 978,546/x
  3. Step 3: Cross multiply
    449,908x = 978,546 × 978,546
  4. Step 4: Simplify right side
    449,908x = 957,552,274,116
  5. Step 5: Solve for x
    x = 957,552,274,116/449,908
  6. Step 6: Final answer
    x = 2,128,329.07

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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.