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Finding the Third Proportional to 1,204,778.25 and 2,509,438.50

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Solution

The third proportional to 1,204,778.25 and 2,509,438.50 is: 5,226,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,778.25 : 2,509,438.50 = 2,509,438.50 : x
  2. Step 2: Convert to fraction form
    1,204,778.25/2,509,438.50 = 2,509,438.50/x
  3. Step 3: Cross multiply
    1,204,778.25x = 2,509,438.50 × 2,509,438.50
  4. Step 4: Simplify right side
    1,204,778.25x = 6,297,281,585,282.25
  5. Step 5: Solve for x
    x = 6,297,281,585,282.25/1,204,778.25
  6. Step 6: Final answer
    x = 5,226,921.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.