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Finding the Third Proportional to 898,252 and 1,947,589

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Solution

The third proportional to 898,252 and 1,947,589 is: 4,222,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,252 : 1,947,589 = 1,947,589 : x
  2. Step 2: Convert to fraction form
    898,252/1,947,589 = 1,947,589/x
  3. Step 3: Cross multiply
    898,252x = 1,947,589 × 1,947,589
  4. Step 4: Simplify right side
    898,252x = 3,793,102,912,921
  5. Step 5: Solve for x
    x = 3,793,102,912,921/898,252
  6. Step 6: Final answer
    x = 4,222,760.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.