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Finding the Third Proportional to 449,414 and 954,230

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Solution

The third proportional to 449,414 and 954,230 is: 2,026,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,414 : 954,230 = 954,230 : x
  2. Step 2: Convert to fraction form
    449,414/954,230 = 954,230/x
  3. Step 3: Cross multiply
    449,414x = 954,230 × 954,230
  4. Step 4: Simplify right side
    449,414x = 910,554,892,900
  5. Step 5: Solve for x
    x = 910,554,892,900/449,414
  6. Step 6: Final answer
    x = 2,026,093.74

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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.