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Finding the Third Proportional to 449,487 and 965,676

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Solution

The third proportional to 449,487 and 965,676 is: 2,074,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,487 : 965,676 = 965,676 : x
  2. Step 2: Convert to fraction form
    449,487/965,676 = 965,676/x
  3. Step 3: Cross multiply
    449,487x = 965,676 × 965,676
  4. Step 4: Simplify right side
    449,487x = 932,530,136,976
  5. Step 5: Solve for x
    x = 932,530,136,976/449,487
  6. Step 6: Final answer
    x = 2,074,654.30

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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.