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Finding the Third Proportional to 748,004 and 1,622,824

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Solution

The third proportional to 748,004 and 1,622,824 is: 3,520,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,004 : 1,622,824 = 1,622,824 : x
  2. Step 2: Convert to fraction form
    748,004/1,622,824 = 1,622,824/x
  3. Step 3: Cross multiply
    748,004x = 1,622,824 × 1,622,824
  4. Step 4: Simplify right side
    748,004x = 2,633,557,734,976
  5. Step 5: Solve for x
    x = 2,633,557,734,976/748,004
  6. Step 6: Final answer
    x = 3,520,780.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.