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Finding the Third Proportional to 449,384 and 978,112

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Solution

The third proportional to 449,384 and 978,112 is: 2,128,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,384 : 978,112 = 978,112 : x
  2. Step 2: Convert to fraction form
    449,384/978,112 = 978,112/x
  3. Step 3: Cross multiply
    449,384x = 978,112 × 978,112
  4. Step 4: Simplify right side
    449,384x = 956,703,084,544
  5. Step 5: Solve for x
    x = 956,703,084,544/449,384
  6. Step 6: Final answer
    x = 2,128,921.11

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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.