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Finding the Third Proportional to 547,154 and 874,092

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Solution

The third proportional to 547,154 and 874,092 is: 1,396,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,154 : 874,092 = 874,092 : x
  2. Step 2: Convert to fraction form
    547,154/874,092 = 874,092/x
  3. Step 3: Cross multiply
    547,154x = 874,092 × 874,092
  4. Step 4: Simplify right side
    547,154x = 764,036,824,464
  5. Step 5: Solve for x
    x = 764,036,824,464/547,154
  6. Step 6: Final answer
    x = 1,396,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.