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Finding the Third Proportional to 1,383,462 and 2,980,380

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Solution

The third proportional to 1,383,462 and 2,980,380 is: 6,420,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,462 : 2,980,380 = 2,980,380 : x
  2. Step 2: Convert to fraction form
    1,383,462/2,980,380 = 2,980,380/x
  3. Step 3: Cross multiply
    1,383,462x = 2,980,380 × 2,980,380
  4. Step 4: Simplify right side
    1,383,462x = 8,882,664,944,400
  5. Step 5: Solve for x
    x = 8,882,664,944,400/1,383,462
  6. Step 6: Final answer
    x = 6,420,606.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.