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Finding the Third Proportional to 449,407 and 954,218

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Solution

The third proportional to 449,407 and 954,218 is: 2,026,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,407 : 954,218 = 954,218 : x
  2. Step 2: Convert to fraction form
    449,407/954,218 = 954,218/x
  3. Step 3: Cross multiply
    449,407x = 954,218 × 954,218
  4. Step 4: Simplify right side
    449,407x = 910,531,991,524
  5. Step 5: Solve for x
    x = 910,531,991,524/449,407
  6. Step 6: Final answer
    x = 2,026,074.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.