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Finding the Third Proportional to 3,194,923.50 and 4,825,649.25

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Solution

The third proportional to 3,194,923.50 and 4,825,649.25 is: 7,288,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,923.50 : 4,825,649.25 = 4,825,649.25 : x
  2. Step 2: Convert to fraction form
    3,194,923.50/4,825,649.25 = 4,825,649.25/x
  3. Step 3: Cross multiply
    3,194,923.50x = 4,825,649.25 × 4,825,649.25
  4. Step 4: Simplify right side
    3,194,923.50x = 23,286,890,684,025.56
  5. Step 5: Solve for x
    x = 23,286,890,684,025.56/3,194,923.50
  6. Step 6: Final answer
    x = 7,288,716.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.