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Finding the Third Proportional to 1,181,543 and 2,531,212

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Solution

The third proportional to 1,181,543 and 2,531,212 is: 5,422,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,543 : 2,531,212 = 2,531,212 : x
  2. Step 2: Convert to fraction form
    1,181,543/2,531,212 = 2,531,212/x
  3. Step 3: Cross multiply
    1,181,543x = 2,531,212 × 2,531,212
  4. Step 4: Simplify right side
    1,181,543x = 6,407,034,188,944
  5. Step 5: Solve for x
    x = 6,407,034,188,944/1,181,543
  6. Step 6: Final answer
    x = 5,422,599.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.