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Finding the Third Proportional to 2,137,213.69 and 3,149,307

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Solution

The third proportional to 2,137,213.69 and 3,149,307 is: 4,640,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,213.69 : 3,149,307 = 3,149,307 : x
  2. Step 2: Convert to fraction form
    2,137,213.69/3,149,307 = 3,149,307/x
  3. Step 3: Cross multiply
    2,137,213.69x = 3,149,307 × 3,149,307
  4. Step 4: Simplify right side
    2,137,213.69x = 9,918,134,580,249
  5. Step 5: Solve for x
    x = 9,918,134,580,249/2,137,213.69
  6. Step 6: Final answer
    x = 4,640,684.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.