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Finding the Third Proportional to 2,337,049.50 and 3,496,232.63

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Solution

The third proportional to 2,337,049.50 and 3,496,232.63 is: 5,230,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,049.50 : 3,496,232.63 = 3,496,232.63 : x
  2. Step 2: Convert to fraction form
    2,337,049.50/3,496,232.63 = 3,496,232.63/x
  3. Step 3: Cross multiply
    2,337,049.50x = 3,496,232.63 × 3,496,232.63
  4. Step 4: Simplify right side
    2,337,049.50x = 12,223,642,568,114.39
  5. Step 5: Solve for x
    x = 12,223,642,568,114.39/2,337,049.50
  6. Step 6: Final answer
    x = 5,230,373.84

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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.