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Finding the Third Proportional to 1,246,832 and 2,706,208

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Solution

The third proportional to 1,246,832 and 2,706,208 is: 5,873,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,832 : 2,706,208 = 2,706,208 : x
  2. Step 2: Convert to fraction form
    1,246,832/2,706,208 = 2,706,208/x
  3. Step 3: Cross multiply
    1,246,832x = 2,706,208 × 2,706,208
  4. Step 4: Simplify right side
    1,246,832x = 7,323,561,739,264
  5. Step 5: Solve for x
    x = 7,323,561,739,264/1,246,832
  6. Step 6: Final answer
    x = 5,873,735.79

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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.