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Finding the Third Proportional to 2,378,320 and 5,228,960

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Solution

The third proportional to 2,378,320 and 5,228,960 is: 11,496,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,320 : 5,228,960 = 5,228,960 : x
  2. Step 2: Convert to fraction form
    2,378,320/5,228,960 = 5,228,960/x
  3. Step 3: Cross multiply
    2,378,320x = 5,228,960 × 5,228,960
  4. Step 4: Simplify right side
    2,378,320x = 27,342,022,681,600
  5. Step 5: Solve for x
    x = 27,342,022,681,600/2,378,320
  6. Step 6: Final answer
    x = 11,496,359.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.