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Finding the Third Proportional to 2,708,016 and 5,839,224

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Solution

The third proportional to 2,708,016 and 5,839,224 is: 12,590,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,016 : 5,839,224 = 5,839,224 : x
  2. Step 2: Convert to fraction form
    2,708,016/5,839,224 = 5,839,224/x
  3. Step 3: Cross multiply
    2,708,016x = 5,839,224 × 5,839,224
  4. Step 4: Simplify right side
    2,708,016x = 34,096,536,922,176
  5. Step 5: Solve for x
    x = 34,096,536,922,176/2,708,016
  6. Step 6: Final answer
    x = 12,590,965.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.