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Finding the Third Proportional to 451,812 and 982,312

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Solution

The third proportional to 451,812 and 982,312 is: 2,135,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,812 : 982,312 = 982,312 : x
  2. Step 2: Convert to fraction form
    451,812/982,312 = 982,312/x
  3. Step 3: Cross multiply
    451,812x = 982,312 × 982,312
  4. Step 4: Simplify right side
    451,812x = 964,936,865,344
  5. Step 5: Solve for x
    x = 964,936,865,344/451,812
  6. Step 6: Final answer
    x = 2,135,704.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.