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Finding the Third Proportional to 1,581,653.78 and 2,394,662.48

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Solution

The third proportional to 1,581,653.78 and 2,394,662.48 is: 3,625,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,653.78 : 2,394,662.48 = 2,394,662.48 : x
  2. Step 2: Convert to fraction form
    1,581,653.78/2,394,662.48 = 2,394,662.48/x
  3. Step 3: Cross multiply
    1,581,653.78x = 2,394,662.48 × 2,394,662.48
  4. Step 4: Simplify right side
    1,581,653.78x = 5,734,408,414,073.05
  5. Step 5: Solve for x
    x = 5,734,408,414,073.05/1,581,653.78
  6. Step 6: Final answer
    x = 3,625,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.