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Finding the Third Proportional to 820,341 and 1,241,847

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Solution

The third proportional to 820,341 and 1,241,847 is: 1,879,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,341 : 1,241,847 = 1,241,847 : x
  2. Step 2: Convert to fraction form
    820,341/1,241,847 = 1,241,847/x
  3. Step 3: Cross multiply
    820,341x = 1,241,847 × 1,241,847
  4. Step 4: Simplify right side
    820,341x = 1,542,183,971,409
  5. Step 5: Solve for x
    x = 1,542,183,971,409/820,341
  6. Step 6: Final answer
    x = 1,879,930.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.