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Finding the Third Proportional to 749,936 and 1,649,954

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Solution

The third proportional to 749,936 and 1,649,954 is: 3,630,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,936 : 1,649,954 = 1,649,954 : x
  2. Step 2: Convert to fraction form
    749,936/1,649,954 = 1,649,954/x
  3. Step 3: Cross multiply
    749,936x = 1,649,954 × 1,649,954
  4. Step 4: Simplify right side
    749,936x = 2,722,348,202,116
  5. Step 5: Solve for x
    x = 2,722,348,202,116/749,936
  6. Step 6: Final answer
    x = 3,630,107.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.