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Finding the Third Proportional to 730,474 and 1,593,801

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Solution

The third proportional to 730,474 and 1,593,801 is: 3,477,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,474 : 1,593,801 = 1,593,801 : x
  2. Step 2: Convert to fraction form
    730,474/1,593,801 = 1,593,801/x
  3. Step 3: Cross multiply
    730,474x = 1,593,801 × 1,593,801
  4. Step 4: Simplify right side
    730,474x = 2,540,201,627,601
  5. Step 5: Solve for x
    x = 2,540,201,627,601/730,474
  6. Step 6: Final answer
    x = 3,477,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.