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Finding the Third Proportional to 1,738,932 and 2,660,268

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Solution

The third proportional to 1,738,932 and 2,660,268 is: 4,069,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,932 : 2,660,268 = 2,660,268 : x
  2. Step 2: Convert to fraction form
    1,738,932/2,660,268 = 2,660,268/x
  3. Step 3: Cross multiply
    1,738,932x = 2,660,268 × 2,660,268
  4. Step 4: Simplify right side
    1,738,932x = 7,077,025,831,824
  5. Step 5: Solve for x
    x = 7,077,025,831,824/1,738,932
  6. Step 6: Final answer
    x = 4,069,754.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.