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Finding the Third Proportional to 451,034 and 991,348

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Solution

The third proportional to 451,034 and 991,348 is: 2,178,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,034 : 991,348 = 991,348 : x
  2. Step 2: Convert to fraction form
    451,034/991,348 = 991,348/x
  3. Step 3: Cross multiply
    451,034x = 991,348 × 991,348
  4. Step 4: Simplify right side
    451,034x = 982,770,857,104
  5. Step 5: Solve for x
    x = 982,770,857,104/451,034
  6. Step 6: Final answer
    x = 2,178,928.54

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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.