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Finding the Third Proportional to 2,629,216.50 and 3,933,319.50

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Solution

The third proportional to 2,629,216.50 and 3,933,319.50 is: 5,884,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629,216.50 : 3,933,319.50 = 3,933,319.50 : x
  2. Step 2: Convert to fraction form
    2,629,216.50/3,933,319.50 = 3,933,319.50/x
  3. Step 3: Cross multiply
    2,629,216.50x = 3,933,319.50 × 3,933,319.50
  4. Step 4: Simplify right side
    2,629,216.50x = 15,471,002,289,080.25
  5. Step 5: Solve for x
    x = 15,471,002,289,080.25/2,629,216.50
  6. Step 6: Final answer
    x = 5,884,263.35

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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.