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Finding the Third Proportional to 647,412.75 and 1,347,571.69

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Solution

The third proportional to 647,412.75 and 1,347,571.69 is: 2,804,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,412.75 : 1,347,571.69 = 1,347,571.69 : x
  2. Step 2: Convert to fraction form
    647,412.75/1,347,571.69 = 1,347,571.69/x
  3. Step 3: Cross multiply
    647,412.75x = 1,347,571.69 × 1,347,571.69
  4. Step 4: Simplify right side
    647,412.75x = 1,815,949,452,951.60
  5. Step 5: Solve for x
    x = 1,815,949,452,951.60/647,412.75
  6. Step 6: Final answer
    x = 2,804,933.10

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