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Finding the Third Proportional to 1,610,194 and 2,407,027

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Solution

The third proportional to 1,610,194 and 2,407,027 is: 3,598,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,194 : 2,407,027 = 2,407,027 : x
  2. Step 2: Convert to fraction form
    1,610,194/2,407,027 = 2,407,027/x
  3. Step 3: Cross multiply
    1,610,194x = 2,407,027 × 2,407,027
  4. Step 4: Simplify right side
    1,610,194x = 5,793,778,978,729
  5. Step 5: Solve for x
    x = 5,793,778,978,729/1,610,194
  6. Step 6: Final answer
    x = 3,598,186.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.