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Finding the Third Proportional to 2,709,812.25 and 3,962,940.75

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Solution

The third proportional to 2,709,812.25 and 3,962,940.75 is: 5,795,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,812.25 : 3,962,940.75 = 3,962,940.75 : x
  2. Step 2: Convert to fraction form
    2,709,812.25/3,962,940.75 = 3,962,940.75/x
  3. Step 3: Cross multiply
    2,709,812.25x = 3,962,940.75 × 3,962,940.75
  4. Step 4: Simplify right side
    2,709,812.25x = 15,704,899,388,010.56
  5. Step 5: Solve for x
    x = 15,704,899,388,010.56/2,709,812.25
  6. Step 6: Final answer
    x = 5,795,567.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.