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Finding the Third Proportional to 2,857,760 and 6,164,218

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Solution

The third proportional to 2,857,760 and 6,164,218 is: 13,296,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,760 : 6,164,218 = 6,164,218 : x
  2. Step 2: Convert to fraction form
    2,857,760/6,164,218 = 6,164,218/x
  3. Step 3: Cross multiply
    2,857,760x = 6,164,218 × 6,164,218
  4. Step 4: Simplify right side
    2,857,760x = 37,997,583,551,524
  5. Step 5: Solve for x
    x = 37,997,583,551,524/2,857,760
  6. Step 6: Final answer
    x = 13,296,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.