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Finding the Third Proportional to 814,892 and 1,792,232

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Solution

The third proportional to 814,892 and 1,792,232 is: 3,941,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,892 : 1,792,232 = 1,792,232 : x
  2. Step 2: Convert to fraction form
    814,892/1,792,232 = 1,792,232/x
  3. Step 3: Cross multiply
    814,892x = 1,792,232 × 1,792,232
  4. Step 4: Simplify right side
    814,892x = 3,212,095,541,824
  5. Step 5: Solve for x
    x = 3,212,095,541,824/814,892
  6. Step 6: Final answer
    x = 3,941,743.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.