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Finding the Third Proportional to 450,638 and 965,244

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Solution

The third proportional to 450,638 and 965,244 is: 2,067,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,638 : 965,244 = 965,244 : x
  2. Step 2: Convert to fraction form
    450,638/965,244 = 965,244/x
  3. Step 3: Cross multiply
    450,638x = 965,244 × 965,244
  4. Step 4: Simplify right side
    450,638x = 931,695,979,536
  5. Step 5: Solve for x
    x = 931,695,979,536/450,638
  6. Step 6: Final answer
    x = 2,067,504.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.