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Finding the Third Proportional to 2,378,992 and 3,569,219

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Solution

The third proportional to 2,378,992 and 3,569,219 is: 5,354,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,992 : 3,569,219 = 3,569,219 : x
  2. Step 2: Convert to fraction form
    2,378,992/3,569,219 = 3,569,219/x
  3. Step 3: Cross multiply
    2,378,992x = 3,569,219 × 3,569,219
  4. Step 4: Simplify right side
    2,378,992x = 12,739,324,269,961
  5. Step 5: Solve for x
    x = 12,739,324,269,961/2,378,992
  6. Step 6: Final answer
    x = 5,354,925.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.