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Finding the Third Proportional to 1,738,826 and 3,734,728

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Solution

The third proportional to 1,738,826 and 3,734,728 is: 8,021,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,826 : 3,734,728 = 3,734,728 : x
  2. Step 2: Convert to fraction form
    1,738,826/3,734,728 = 3,734,728/x
  3. Step 3: Cross multiply
    1,738,826x = 3,734,728 × 3,734,728
  4. Step 4: Simplify right side
    1,738,826x = 13,948,193,233,984
  5. Step 5: Solve for x
    x = 13,948,193,233,984/1,738,826
  6. Step 6: Final answer
    x = 8,021,615.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.