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Finding the Third Proportional to 447,503 and 978,294

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Solution

The third proportional to 447,503 and 978,294 is: 2,138,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,503 : 978,294 = 978,294 : x
  2. Step 2: Convert to fraction form
    447,503/978,294 = 978,294/x
  3. Step 3: Cross multiply
    447,503x = 978,294 × 978,294
  4. Step 4: Simplify right side
    447,503x = 957,059,150,436
  5. Step 5: Solve for x
    x = 957,059,150,436/447,503
  6. Step 6: Final answer
    x = 2,138,665.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.