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Finding the Third Proportional to 454,928 and 992,672

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Solution

The third proportional to 454,928 and 992,672 is: 2,166,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,928 : 992,672 = 992,672 : x
  2. Step 2: Convert to fraction form
    454,928/992,672 = 992,672/x
  3. Step 3: Cross multiply
    454,928x = 992,672 × 992,672
  4. Step 4: Simplify right side
    454,928x = 985,397,699,584
  5. Step 5: Solve for x
    x = 985,397,699,584/454,928
  6. Step 6: Final answer
    x = 2,166,051.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.