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Finding the Third Proportional to 449,463 and 965,628

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Solution

The third proportional to 449,463 and 965,628 is: 2,074,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,463 : 965,628 = 965,628 : x
  2. Step 2: Convert to fraction form
    449,463/965,628 = 965,628/x
  3. Step 3: Cross multiply
    449,463x = 965,628 × 965,628
  4. Step 4: Simplify right side
    449,463x = 932,437,434,384
  5. Step 5: Solve for x
    x = 932,437,434,384/449,463
  6. Step 6: Final answer
    x = 2,074,558.83

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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.