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Finding the Third Proportional to 969,408 and 2,063,232

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Solution

The third proportional to 969,408 and 2,063,232 is: 4,391,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,408 : 2,063,232 = 2,063,232 : x
  2. Step 2: Convert to fraction form
    969,408/2,063,232 = 2,063,232/x
  3. Step 3: Cross multiply
    969,408x = 2,063,232 × 2,063,232
  4. Step 4: Simplify right side
    969,408x = 4,256,926,285,824
  5. Step 5: Solve for x
    x = 4,256,926,285,824/969,408
  6. Step 6: Final answer
    x = 4,391,263.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.