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Finding the Third Proportional to 451,324 and 991,212

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Solution

The third proportional to 451,324 and 991,212 is: 2,176,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,324 : 991,212 = 991,212 : x
  2. Step 2: Convert to fraction form
    451,324/991,212 = 991,212/x
  3. Step 3: Cross multiply
    451,324x = 991,212 × 991,212
  4. Step 4: Simplify right side
    451,324x = 982,501,228,944
  5. Step 5: Solve for x
    x = 982,501,228,944/451,324
  6. Step 6: Final answer
    x = 2,176,931.05

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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.