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Finding the Third Proportional to 647,453.25 and 1,320,610.50

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Solution

The third proportional to 647,453.25 and 1,320,610.50 is: 2,693,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,453.25 : 1,320,610.50 = 1,320,610.50 : x
  2. Step 2: Convert to fraction form
    647,453.25/1,320,610.50 = 1,320,610.50/x
  3. Step 3: Cross multiply
    647,453.25x = 1,320,610.50 × 1,320,610.50
  4. Step 4: Simplify right side
    647,453.25x = 1,744,012,092,710.25
  5. Step 5: Solve for x
    x = 1,744,012,092,710.25/647,453.25
  6. Step 6: Final answer
    x = 2,693,649.45

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.