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Finding the Third Proportional to 428,747 and 914,493

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Solution

The third proportional to 428,747 and 914,493 is: 1,950,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,747 : 914,493 = 914,493 : x
  2. Step 2: Convert to fraction form
    428,747/914,493 = 914,493/x
  3. Step 3: Cross multiply
    428,747x = 914,493 × 914,493
  4. Step 4: Simplify right side
    428,747x = 836,297,447,049
  5. Step 5: Solve for x
    x = 836,297,447,049/428,747
  6. Step 6: Final answer
    x = 1,950,561.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.