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Finding the Third Proportional to 2,519,121 and 5,397,633

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Solution

The third proportional to 2,519,121 and 5,397,633 is: 11,565,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,121 : 5,397,633 = 5,397,633 : x
  2. Step 2: Convert to fraction form
    2,519,121/5,397,633 = 5,397,633/x
  3. Step 3: Cross multiply
    2,519,121x = 5,397,633 × 5,397,633
  4. Step 4: Simplify right side
    2,519,121x = 29,134,442,002,689
  5. Step 5: Solve for x
    x = 29,134,442,002,689/2,519,121
  6. Step 6: Final answer
    x = 11,565,320.60

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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.