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Finding the Third Proportional to 449,939 and 978,610

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Solution

The third proportional to 449,939 and 978,610 is: 2,128,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,939 : 978,610 = 978,610 : x
  2. Step 2: Convert to fraction form
    449,939/978,610 = 978,610/x
  3. Step 3: Cross multiply
    449,939x = 978,610 × 978,610
  4. Step 4: Simplify right side
    449,939x = 957,677,532,100
  5. Step 5: Solve for x
    x = 957,677,532,100/449,939
  6. Step 6: Final answer
    x = 2,128,460.82

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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.