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Finding the Third Proportional to 449,405 and 954,214

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Solution

The third proportional to 449,405 and 954,214 is: 2,026,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,405 : 954,214 = 954,214 : x
  2. Step 2: Convert to fraction form
    449,405/954,214 = 954,214/x
  3. Step 3: Cross multiply
    449,405x = 954,214 × 954,214
  4. Step 4: Simplify right side
    449,405x = 910,524,357,796
  5. Step 5: Solve for x
    x = 910,524,357,796/449,405
  6. Step 6: Final answer
    x = 2,026,066.37

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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.