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Finding the Third Proportional to 449,367 and 978,087

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Solution

The third proportional to 449,367 and 978,087 is: 2,128,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,367 : 978,087 = 978,087 : x
  2. Step 2: Convert to fraction form
    449,367/978,087 = 978,087/x
  3. Step 3: Cross multiply
    449,367x = 978,087 × 978,087
  4. Step 4: Simplify right side
    449,367x = 956,654,179,569
  5. Step 5: Solve for x
    x = 956,654,179,569/449,367
  6. Step 6: Final answer
    x = 2,128,892.82

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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.