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Finding the Third Proportional to 1,638,329.25 and 3,591,586.50

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Solution

The third proportional to 1,638,329.25 and 3,591,586.50 is: 7,873,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,329.25 : 3,591,586.50 = 3,591,586.50 : x
  2. Step 2: Convert to fraction form
    1,638,329.25/3,591,586.50 = 3,591,586.50/x
  3. Step 3: Cross multiply
    1,638,329.25x = 3,591,586.50 × 3,591,586.50
  4. Step 4: Simplify right side
    1,638,329.25x = 12,899,493,586,982.25
  5. Step 5: Solve for x
    x = 12,899,493,586,982.25/1,638,329.25
  6. Step 6: Final answer
    x = 7,873,566.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.