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Finding the Third Proportional to 2,025,678 and 3,207,648

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Solution

The third proportional to 2,025,678 and 3,207,648 is: 5,079,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,678 : 3,207,648 = 3,207,648 : x
  2. Step 2: Convert to fraction form
    2,025,678/3,207,648 = 3,207,648/x
  3. Step 3: Cross multiply
    2,025,678x = 3,207,648 × 3,207,648
  4. Step 4: Simplify right side
    2,025,678x = 10,289,005,691,904
  5. Step 5: Solve for x
    x = 10,289,005,691,904/2,025,678
  6. Step 6: Final answer
    x = 5,079,289.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.