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Finding the Third Proportional to 1,043,259.75 and 2,198,603.25

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Solution

The third proportional to 1,043,259.75 and 2,198,603.25 is: 4,633,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,259.75 : 2,198,603.25 = 2,198,603.25 : x
  2. Step 2: Convert to fraction form
    1,043,259.75/2,198,603.25 = 2,198,603.25/x
  3. Step 3: Cross multiply
    1,043,259.75x = 2,198,603.25 × 2,198,603.25
  4. Step 4: Simplify right side
    1,043,259.75x = 4,833,856,250,910.56
  5. Step 5: Solve for x
    x = 4,833,856,250,910.56/1,043,259.75
  6. Step 6: Final answer
    x = 4,633,415.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.