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Finding the Third Proportional to 3,829,968 and 5,824,530

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Solution

The third proportional to 3,829,968 and 5,824,530 is: 8,857,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,968 : 5,824,530 = 5,824,530 : x
  2. Step 2: Convert to fraction form
    3,829,968/5,824,530 = 5,824,530/x
  3. Step 3: Cross multiply
    3,829,968x = 5,824,530 × 5,824,530
  4. Step 4: Simplify right side
    3,829,968x = 33,925,149,720,900
  5. Step 5: Solve for x
    x = 33,925,149,720,900/3,829,968
  6. Step 6: Final answer
    x = 8,857,815.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.