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Finding the Third Proportional to 443,917 and 978,323

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Solution

The third proportional to 443,917 and 978,323 is: 2,156,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,917 : 978,323 = 978,323 : x
  2. Step 2: Convert to fraction form
    443,917/978,323 = 978,323/x
  3. Step 3: Cross multiply
    443,917x = 978,323 × 978,323
  4. Step 4: Simplify right side
    443,917x = 957,115,892,329
  5. Step 5: Solve for x
    x = 957,115,892,329/443,917
  6. Step 6: Final answer
    x = 2,156,069.47

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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.