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Finding the Third Proportional to 449,975 and 978,682

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Solution

The third proportional to 449,975 and 978,682 is: 2,128,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,975 : 978,682 = 978,682 : x
  2. Step 2: Convert to fraction form
    449,975/978,682 = 978,682/x
  3. Step 3: Cross multiply
    449,975x = 978,682 × 978,682
  4. Step 4: Simplify right side
    449,975x = 957,818,457,124
  5. Step 5: Solve for x
    x = 957,818,457,124/449,975
  6. Step 6: Final answer
    x = 2,128,603.72

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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.