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Finding the Third Proportional to 752,344 and 1,622,786

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Solution

The third proportional to 752,344 and 1,622,786 is: 3,500,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,344 : 1,622,786 = 1,622,786 : x
  2. Step 2: Convert to fraction form
    752,344/1,622,786 = 1,622,786/x
  3. Step 3: Cross multiply
    752,344x = 1,622,786 × 1,622,786
  4. Step 4: Simplify right side
    752,344x = 2,633,434,401,796
  5. Step 5: Solve for x
    x = 2,633,434,401,796/752,344
  6. Step 6: Final answer
    x = 3,500,306.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.