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Finding the Third Proportional to 2,734,230 and 5,983,378

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Solution

The third proportional to 2,734,230 and 5,983,378 is: 13,093,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,230 : 5,983,378 = 5,983,378 : x
  2. Step 2: Convert to fraction form
    2,734,230/5,983,378 = 5,983,378/x
  3. Step 3: Cross multiply
    2,734,230x = 5,983,378 × 5,983,378
  4. Step 4: Simplify right side
    2,734,230x = 35,800,812,290,884
  5. Step 5: Solve for x
    x = 35,800,812,290,884/2,734,230
  6. Step 6: Final answer
    x = 13,093,562.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.