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Finding the Third Proportional to 4,540,974 and 6,830,589

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Solution

The third proportional to 4,540,974 and 6,830,589 is: 10,274,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,974 : 6,830,589 = 6,830,589 : x
  2. Step 2: Convert to fraction form
    4,540,974/6,830,589 = 6,830,589/x
  3. Step 3: Cross multiply
    4,540,974x = 6,830,589 × 6,830,589
  4. Step 4: Simplify right side
    4,540,974x = 46,656,946,086,921
  5. Step 5: Solve for x
    x = 46,656,946,086,921/4,540,974
  6. Step 6: Final answer
    x = 10,274,656.07

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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.