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Finding the Third Proportional to 2,706,238 and 5,888,894

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Solution

The third proportional to 2,706,238 and 5,888,894 is: 12,814,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,238 : 5,888,894 = 5,888,894 : x
  2. Step 2: Convert to fraction form
    2,706,238/5,888,894 = 5,888,894/x
  3. Step 3: Cross multiply
    2,706,238x = 5,888,894 × 5,888,894
  4. Step 4: Simplify right side
    2,706,238x = 34,679,072,543,236
  5. Step 5: Solve for x
    x = 34,679,072,543,236/2,706,238
  6. Step 6: Final answer
    x = 12,814,494.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.