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Finding the Third Proportional to 2,025,280 and 4,780,864

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Solution

The third proportional to 2,025,280 and 4,780,864 is: 11,285,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,280 : 4,780,864 = 4,780,864 : x
  2. Step 2: Convert to fraction form
    2,025,280/4,780,864 = 4,780,864/x
  3. Step 3: Cross multiply
    2,025,280x = 4,780,864 × 4,780,864
  4. Step 4: Simplify right side
    2,025,280x = 22,856,660,586,496
  5. Step 5: Solve for x
    x = 22,856,660,586,496/2,025,280
  6. Step 6: Final answer
    x = 11,285,679.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.