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Finding the Third Proportional to 752,682 and 1,623,462

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Solution

The third proportional to 752,682 and 1,623,462 is: 3,501,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,682 : 1,623,462 = 1,623,462 : x
  2. Step 2: Convert to fraction form
    752,682/1,623,462 = 1,623,462/x
  3. Step 3: Cross multiply
    752,682x = 1,623,462 × 1,623,462
  4. Step 4: Simplify right side
    752,682x = 2,635,628,865,444
  5. Step 5: Solve for x
    x = 2,635,628,865,444/752,682
  6. Step 6: Final answer
    x = 3,501,649.92

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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.