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Finding the Third Proportional to 451,309 and 991,197

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Solution

The third proportional to 451,309 and 991,197 is: 2,176,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,309 : 991,197 = 991,197 : x
  2. Step 2: Convert to fraction form
    451,309/991,197 = 991,197/x
  3. Step 3: Cross multiply
    451,309x = 991,197 × 991,197
  4. Step 4: Simplify right side
    451,309x = 982,471,492,809
  5. Step 5: Solve for x
    x = 982,471,492,809/451,309
  6. Step 6: Final answer
    x = 2,176,937.51

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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.