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Finding the Third Proportional to 647,790.75 and 1,505,904.75

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Solution

The third proportional to 647,790.75 and 1,505,904.75 is: 3,500,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,790.75 : 1,505,904.75 = 1,505,904.75 : x
  2. Step 2: Convert to fraction form
    647,790.75/1,505,904.75 = 1,505,904.75/x
  3. Step 3: Cross multiply
    647,790.75x = 1,505,904.75 × 1,505,904.75
  4. Step 4: Simplify right side
    647,790.75x = 2,267,749,116,072.56
  5. Step 5: Solve for x
    x = 2,267,749,116,072.56/647,790.75
  6. Step 6: Final answer
    x = 3,500,743.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.