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Finding the Third Proportional to 428,494 and 818,108

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Solution

The third proportional to 428,494 and 818,108 is: 1,561,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,494 : 818,108 = 818,108 : x
  2. Step 2: Convert to fraction form
    428,494/818,108 = 818,108/x
  3. Step 3: Cross multiply
    428,494x = 818,108 × 818,108
  4. Step 4: Simplify right side
    428,494x = 669,300,699,664
  5. Step 5: Solve for x
    x = 669,300,699,664/428,494
  6. Step 6: Final answer
    x = 1,561,983.83

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.