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Finding the Third Proportional to 449,489 and 965,680

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Solution

The third proportional to 449,489 and 965,680 is: 2,074,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,489 : 965,680 = 965,680 : x
  2. Step 2: Convert to fraction form
    449,489/965,680 = 965,680/x
  3. Step 3: Cross multiply
    449,489x = 965,680 × 965,680
  4. Step 4: Simplify right side
    449,489x = 932,537,862,400
  5. Step 5: Solve for x
    x = 932,537,862,400/449,489
  6. Step 6: Final answer
    x = 2,074,662.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.