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Finding the Third Proportional to 451,295 and 991,168

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Solution

The third proportional to 451,295 and 991,168 is: 2,176,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,295 : 991,168 = 991,168 : x
  2. Step 2: Convert to fraction form
    451,295/991,168 = 991,168/x
  3. Step 3: Cross multiply
    451,295x = 991,168 × 991,168
  4. Step 4: Simplify right side
    451,295x = 982,414,004,224
  5. Step 5: Solve for x
    x = 982,414,004,224/451,295
  6. Step 6: Final answer
    x = 2,176,877.66

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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.