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Finding the Third Proportional to 2,839,858 and 6,112,742

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Solution

The third proportional to 2,839,858 and 6,112,742 is: 13,157,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,858 : 6,112,742 = 6,112,742 : x
  2. Step 2: Convert to fraction form
    2,839,858/6,112,742 = 6,112,742/x
  3. Step 3: Cross multiply
    2,839,858x = 6,112,742 × 6,112,742
  4. Step 4: Simplify right side
    2,839,858x = 37,365,614,758,564
  5. Step 5: Solve for x
    x = 37,365,614,758,564/2,839,858
  6. Step 6: Final answer
    x = 13,157,564.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.