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Finding the Third Proportional to 1,204,909 and 2,608,184

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Solution

The third proportional to 1,204,909 and 2,608,184 is: 5,645,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,909 : 2,608,184 = 2,608,184 : x
  2. Step 2: Convert to fraction form
    1,204,909/2,608,184 = 2,608,184/x
  3. Step 3: Cross multiply
    1,204,909x = 2,608,184 × 2,608,184
  4. Step 4: Simplify right side
    1,204,909x = 6,802,623,777,856
  5. Step 5: Solve for x
    x = 6,802,623,777,856/1,204,909
  6. Step 6: Final answer
    x = 5,645,757.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.