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Finding the Third Proportional to 1,184,743 and 2,558,266

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Solution

The third proportional to 1,184,743 and 2,558,266 is: 5,524,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,743 : 2,558,266 = 2,558,266 : x
  2. Step 2: Convert to fraction form
    1,184,743/2,558,266 = 2,558,266/x
  3. Step 3: Cross multiply
    1,184,743x = 2,558,266 × 2,558,266
  4. Step 4: Simplify right side
    1,184,743x = 6,544,724,926,756
  5. Step 5: Solve for x
    x = 6,544,724,926,756/1,184,743
  6. Step 6: Final answer
    x = 5,524,172.69

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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.