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Finding the Third Proportional to 4,540,976 and 6,830,592

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Solution

The third proportional to 4,540,976 and 6,830,592 is: 10,274,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,976 : 6,830,592 = 6,830,592 : x
  2. Step 2: Convert to fraction form
    4,540,976/6,830,592 = 6,830,592/x
  3. Step 3: Cross multiply
    4,540,976x = 6,830,592 × 6,830,592
  4. Step 4: Simplify right side
    4,540,976x = 46,656,987,070,464
  5. Step 5: Solve for x
    x = 46,656,987,070,464/4,540,976
  6. Step 6: Final answer
    x = 10,274,660.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.