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Finding the Third Proportional to 2,322,232.50 and 3,415,065

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Solution

The third proportional to 2,322,232.50 and 3,415,065 is: 5,022,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,232.50 : 3,415,065 = 3,415,065 : x
  2. Step 2: Convert to fraction form
    2,322,232.50/3,415,065 = 3,415,065/x
  3. Step 3: Cross multiply
    2,322,232.50x = 3,415,065 × 3,415,065
  4. Step 4: Simplify right side
    2,322,232.50x = 11,662,668,954,225
  5. Step 5: Solve for x
    x = 11,662,668,954,225/2,322,232.50
  6. Step 6: Final answer
    x = 5,022,179.71

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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.