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Finding the Third Proportional to 449,378 and 978,109

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Solution

The third proportional to 449,378 and 978,109 is: 2,128,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,378 : 978,109 = 978,109 : x
  2. Step 2: Convert to fraction form
    449,378/978,109 = 978,109/x
  3. Step 3: Cross multiply
    449,378x = 978,109 × 978,109
  4. Step 4: Simplify right side
    449,378x = 956,697,215,881
  5. Step 5: Solve for x
    x = 956,697,215,881/449,378
  6. Step 6: Final answer
    x = 2,128,936.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.