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Finding the Third Proportional to 611,422 and 815,451

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Solution

The third proportional to 611,422 and 815,451 is: 1,087,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,422 : 815,451 = 815,451 : x
  2. Step 2: Convert to fraction form
    611,422/815,451 = 815,451/x
  3. Step 3: Cross multiply
    611,422x = 815,451 × 815,451
  4. Step 4: Simplify right side
    611,422x = 664,960,333,401
  5. Step 5: Solve for x
    x = 664,960,333,401/611,422
  6. Step 6: Final answer
    x = 1,087,563.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.