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Finding the Third Proportional to 2,145,743.25 and 4,660,542

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Solution

The third proportional to 2,145,743.25 and 4,660,542 is: 10,122,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,743.25 : 4,660,542 = 4,660,542 : x
  2. Step 2: Convert to fraction form
    2,145,743.25/4,660,542 = 4,660,542/x
  3. Step 3: Cross multiply
    2,145,743.25x = 4,660,542 × 4,660,542
  4. Step 4: Simplify right side
    2,145,743.25x = 21,720,651,733,764
  5. Step 5: Solve for x
    x = 21,720,651,733,764/2,145,743.25
  6. Step 6: Final answer
    x = 10,122,670.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.