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Finding the Third Proportional to 2,760,816 and 5,905,456

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Solution

The third proportional to 2,760,816 and 5,905,456 is: 12,631,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,816 : 5,905,456 = 5,905,456 : x
  2. Step 2: Convert to fraction form
    2,760,816/5,905,456 = 5,905,456/x
  3. Step 3: Cross multiply
    2,760,816x = 5,905,456 × 5,905,456
  4. Step 4: Simplify right side
    2,760,816x = 34,874,410,567,936
  5. Step 5: Solve for x
    x = 34,874,410,567,936/2,760,816
  6. Step 6: Final answer
    x = 12,631,921.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.