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Finding the Third Proportional to 451,336 and 991,232

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Solution

The third proportional to 451,336 and 991,232 is: 2,176,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,336 : 991,232 = 991,232 : x
  2. Step 2: Convert to fraction form
    451,336/991,232 = 991,232/x
  3. Step 3: Cross multiply
    451,336x = 991,232 × 991,232
  4. Step 4: Simplify right side
    451,336x = 982,540,877,824
  5. Step 5: Solve for x
    x = 982,540,877,824/451,336
  6. Step 6: Final answer
    x = 2,176,961.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.