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Finding the Third Proportional to 449,914 and 978,558

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Solution

The third proportional to 449,914 and 978,558 is: 2,128,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,914 : 978,558 = 978,558 : x
  2. Step 2: Convert to fraction form
    449,914/978,558 = 978,558/x
  3. Step 3: Cross multiply
    449,914x = 978,558 × 978,558
  4. Step 4: Simplify right side
    449,914x = 957,575,759,364
  5. Step 5: Solve for x
    x = 957,575,759,364/449,914
  6. Step 6: Final answer
    x = 2,128,352.88

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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.