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Finding the Third Proportional to 752,891 and 1,655,050

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Solution

The third proportional to 752,891 and 1,655,050 is: 3,638,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,891 : 1,655,050 = 1,655,050 : x
  2. Step 2: Convert to fraction form
    752,891/1,655,050 = 1,655,050/x
  3. Step 3: Cross multiply
    752,891x = 1,655,050 × 1,655,050
  4. Step 4: Simplify right side
    752,891x = 2,739,190,502,500
  5. Step 5: Solve for x
    x = 2,739,190,502,500/752,891
  6. Step 6: Final answer
    x = 3,638,229.84

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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.