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Finding the Third Proportional to 449,373 and 978,099

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Solution

The third proportional to 449,373 and 978,099 is: 2,128,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,373 : 978,099 = 978,099 : x
  2. Step 2: Convert to fraction form
    449,373/978,099 = 978,099/x
  3. Step 3: Cross multiply
    449,373x = 978,099 × 978,099
  4. Step 4: Simplify right side
    449,373x = 956,677,653,801
  5. Step 5: Solve for x
    x = 956,677,653,801/449,373
  6. Step 6: Final answer
    x = 2,128,916.63

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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.