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Finding the Third Proportional to 814,890 and 1,792,228

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Solution

The third proportional to 814,890 and 1,792,228 is: 3,941,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,890 : 1,792,228 = 1,792,228 : x
  2. Step 2: Convert to fraction form
    814,890/1,792,228 = 1,792,228/x
  3. Step 3: Cross multiply
    814,890x = 1,792,228 × 1,792,228
  4. Step 4: Simplify right side
    814,890x = 3,212,081,203,984
  5. Step 5: Solve for x
    x = 3,212,081,203,984/814,890
  6. Step 6: Final answer
    x = 3,941,735.94

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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.