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Finding the Third Proportional to 1,448,672 and 3,149,224

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Solution

The third proportional to 1,448,672 and 3,149,224 is: 6,846,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,672 : 3,149,224 = 3,149,224 : x
  2. Step 2: Convert to fraction form
    1,448,672/3,149,224 = 3,149,224/x
  3. Step 3: Cross multiply
    1,448,672x = 3,149,224 × 3,149,224
  4. Step 4: Simplify right side
    1,448,672x = 9,917,611,802,176
  5. Step 5: Solve for x
    x = 9,917,611,802,176/1,448,672
  6. Step 6: Final answer
    x = 6,846,002.27

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