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Finding the Third Proportional to 748,510 and 1,619,923

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Solution

The third proportional to 748,510 and 1,619,923 is: 3,505,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,510 : 1,619,923 = 1,619,923 : x
  2. Step 2: Convert to fraction form
    748,510/1,619,923 = 1,619,923/x
  3. Step 3: Cross multiply
    748,510x = 1,619,923 × 1,619,923
  4. Step 4: Simplify right side
    748,510x = 2,624,150,525,929
  5. Step 5: Solve for x
    x = 2,624,150,525,929/748,510
  6. Step 6: Final answer
    x = 3,505,832.29

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