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Finding the Third Proportional to 2,578,378 and 5,464,116

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Solution

The third proportional to 2,578,378 and 5,464,116 is: 11,579,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,378 : 5,464,116 = 5,464,116 : x
  2. Step 2: Convert to fraction form
    2,578,378/5,464,116 = 5,464,116/x
  3. Step 3: Cross multiply
    2,578,378x = 5,464,116 × 5,464,116
  4. Step 4: Simplify right side
    2,578,378x = 29,856,563,661,456
  5. Step 5: Solve for x
    x = 29,856,563,661,456/2,578,378
  6. Step 6: Final answer
    x = 11,579,591.38

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Why These Related Problems?

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