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Finding the Third Proportional to 797,980 and 1,197,792

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Solution

The third proportional to 797,980 and 1,197,792 is: 1,797,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,980 : 1,197,792 = 1,197,792 : x
  2. Step 2: Convert to fraction form
    797,980/1,197,792 = 1,197,792/x
  3. Step 3: Cross multiply
    797,980x = 1,197,792 × 1,197,792
  4. Step 4: Simplify right side
    797,980x = 1,434,705,675,264
  5. Step 5: Solve for x
    x = 1,434,705,675,264/797,980
  6. Step 6: Final answer
    x = 1,797,921.85

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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.