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Finding the Third Proportional to 2,192,994 and 3,289,491

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Solution

The third proportional to 2,192,994 and 3,289,491 is: 4,934,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,994 : 3,289,491 = 3,289,491 : x
  2. Step 2: Convert to fraction form
    2,192,994/3,289,491 = 3,289,491/x
  3. Step 3: Cross multiply
    2,192,994x = 3,289,491 × 3,289,491
  4. Step 4: Simplify right side
    2,192,994x = 10,820,751,039,081
  5. Step 5: Solve for x
    x = 10,820,751,039,081/2,192,994
  6. Step 6: Final answer
    x = 4,934,236.50

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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.