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Finding the Third Proportional to 1,171,827 and 2,567,997

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Solution

The third proportional to 1,171,827 and 2,567,997 is: 5,627,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,827 : 2,567,997 = 2,567,997 : x
  2. Step 2: Convert to fraction form
    1,171,827/2,567,997 = 2,567,997/x
  3. Step 3: Cross multiply
    1,171,827x = 2,567,997 × 2,567,997
  4. Step 4: Simplify right side
    1,171,827x = 6,594,608,592,009
  5. Step 5: Solve for x
    x = 6,594,608,592,009/1,171,827
  6. Step 6: Final answer
    x = 5,627,629.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.