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Finding the Third Proportional to 611,057 and 897,874

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Solution

The third proportional to 611,057 and 897,874 is: 1,319,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,057 : 897,874 = 897,874 : x
  2. Step 2: Convert to fraction form
    611,057/897,874 = 897,874/x
  3. Step 3: Cross multiply
    611,057x = 897,874 × 897,874
  4. Step 4: Simplify right side
    611,057x = 806,177,719,876
  5. Step 5: Solve for x
    x = 806,177,719,876/611,057
  6. Step 6: Final answer
    x = 1,319,316.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.