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Finding the Third Proportional to 448,328 and 961,744

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Solution

The third proportional to 448,328 and 961,744 is: 2,063,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,328 : 961,744 = 961,744 : x
  2. Step 2: Convert to fraction form
    448,328/961,744 = 961,744/x
  3. Step 3: Cross multiply
    448,328x = 961,744 × 961,744
  4. Step 4: Simplify right side
    448,328x = 924,951,521,536
  5. Step 5: Solve for x
    x = 924,951,521,536/448,328
  6. Step 6: Final answer
    x = 2,063,113.44

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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.