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Finding the Third Proportional to 3,827,268 and 5,926,122

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Solution

The third proportional to 3,827,268 and 5,926,122 is: 9,175,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827,268 : 5,926,122 = 5,926,122 : x
  2. Step 2: Convert to fraction form
    3,827,268/5,926,122 = 5,926,122/x
  3. Step 3: Cross multiply
    3,827,268x = 5,926,122 × 5,926,122
  4. Step 4: Simplify right side
    3,827,268x = 35,118,921,958,884
  5. Step 5: Solve for x
    x = 35,118,921,958,884/3,827,268
  6. Step 6: Final answer
    x = 9,175,976.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.