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Finding the Third Proportional to 451,953 and 982,548

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Solution

The third proportional to 451,953 and 982,548 is: 2,136,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,953 : 982,548 = 982,548 : x
  2. Step 2: Convert to fraction form
    451,953/982,548 = 982,548/x
  3. Step 3: Cross multiply
    451,953x = 982,548 × 982,548
  4. Step 4: Simplify right side
    451,953x = 965,400,572,304
  5. Step 5: Solve for x
    x = 965,400,572,304/451,953
  6. Step 6: Final answer
    x = 2,136,064.09

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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.