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Finding the Third Proportional to 3,790,658.25 and 5,420,685.38

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Solution

The third proportional to 3,790,658.25 and 5,420,685.38 is: 7,751,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,658.25 : 5,420,685.38 = 5,420,685.38 : x
  2. Step 2: Convert to fraction form
    3,790,658.25/5,420,685.38 = 5,420,685.38/x
  3. Step 3: Cross multiply
    3,790,658.25x = 5,420,685.38 × 5,420,685.38
  4. Step 4: Simplify right side
    3,790,658.25x = 29,383,829,934,738.89
  5. Step 5: Solve for x
    x = 29,383,829,934,738.89/3,790,658.25
  6. Step 6: Final answer
    x = 7,751,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.