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Finding the Third Proportional to 2,578,388 and 5,464,125

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Solution

The third proportional to 2,578,388 and 5,464,125 is: 11,579,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,388 : 5,464,125 = 5,464,125 : x
  2. Step 2: Convert to fraction form
    2,578,388/5,464,125 = 5,464,125/x
  3. Step 3: Cross multiply
    2,578,388x = 5,464,125 × 5,464,125
  4. Step 4: Simplify right side
    2,578,388x = 29,856,662,015,625
  5. Step 5: Solve for x
    x = 29,856,662,015,625/2,578,388
  6. Step 6: Final answer
    x = 11,579,584.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.