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Finding the Third Proportional to 797,202 and 1,193,616

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Solution

The third proportional to 797,202 and 1,193,616 is: 1,787,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,202 : 1,193,616 = 1,193,616 : x
  2. Step 2: Convert to fraction form
    797,202/1,193,616 = 1,193,616/x
  3. Step 3: Cross multiply
    797,202x = 1,193,616 × 1,193,616
  4. Step 4: Simplify right side
    797,202x = 1,424,719,155,456
  5. Step 5: Solve for x
    x = 1,424,719,155,456/797,202
  6. Step 6: Final answer
    x = 1,787,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.