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Finding the Third Proportional to 451,536 and 965,328

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Solution

The third proportional to 451,536 and 965,328 is: 2,063,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,536 : 965,328 = 965,328 : x
  2. Step 2: Convert to fraction form
    451,536/965,328 = 965,328/x
  3. Step 3: Cross multiply
    451,536x = 965,328 × 965,328
  4. Step 4: Simplify right side
    451,536x = 931,858,147,584
  5. Step 5: Solve for x
    x = 931,858,147,584/451,536
  6. Step 6: Final answer
    x = 2,063,751.61

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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.