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Finding the Third Proportional to 748,512 and 1,619,927

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Solution

The third proportional to 748,512 and 1,619,927 is: 3,505,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,512 : 1,619,927 = 1,619,927 : x
  2. Step 2: Convert to fraction form
    748,512/1,619,927 = 1,619,927/x
  3. Step 3: Cross multiply
    748,512x = 1,619,927 × 1,619,927
  4. Step 4: Simplify right side
    748,512x = 2,624,163,485,329
  5. Step 5: Solve for x
    x = 2,624,163,485,329/748,512
  6. Step 6: Final answer
    x = 3,505,840.23

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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.