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Finding the Third Proportional to 449,876 and 978,482

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Solution

The third proportional to 449,876 and 978,482 is: 2,128,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,876 : 978,482 = 978,482 : x
  2. Step 2: Convert to fraction form
    449,876/978,482 = 978,482/x
  3. Step 3: Cross multiply
    449,876x = 978,482 × 978,482
  4. Step 4: Simplify right side
    449,876x = 957,427,024,324
  5. Step 5: Solve for x
    x = 957,427,024,324/449,876
  6. Step 6: Final answer
    x = 2,128,202.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.