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Finding the Third Proportional to 443,939 and 978,365

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Solution

The third proportional to 443,939 and 978,365 is: 2,156,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,939 : 978,365 = 978,365 : x
  2. Step 2: Convert to fraction form
    443,939/978,365 = 978,365/x
  3. Step 3: Cross multiply
    443,939x = 978,365 × 978,365
  4. Step 4: Simplify right side
    443,939x = 957,198,073,225
  5. Step 5: Solve for x
    x = 957,198,073,225/443,939
  6. Step 6: Final answer
    x = 2,156,147.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.