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Finding the Third Proportional to 2,694,172 and 5,720,444

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Solution

The third proportional to 2,694,172 and 5,720,444 is: 12,146,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,172 : 5,720,444 = 5,720,444 : x
  2. Step 2: Convert to fraction form
    2,694,172/5,720,444 = 5,720,444/x
  3. Step 3: Cross multiply
    2,694,172x = 5,720,444 × 5,720,444
  4. Step 4: Simplify right side
    2,694,172x = 32,723,479,557,136
  5. Step 5: Solve for x
    x = 32,723,479,557,136/2,694,172
  6. Step 6: Final answer
    x = 12,146,024.66

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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.