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Finding the Third Proportional to 964,195.50 and 2,117,524.50

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Solution

The third proportional to 964,195.50 and 2,117,524.50 is: 4,650,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,195.50 : 2,117,524.50 = 2,117,524.50 : x
  2. Step 2: Convert to fraction form
    964,195.50/2,117,524.50 = 2,117,524.50/x
  3. Step 3: Cross multiply
    964,195.50x = 2,117,524.50 × 2,117,524.50
  4. Step 4: Simplify right side
    964,195.50x = 4,483,910,008,100.25
  5. Step 5: Solve for x
    x = 4,483,910,008,100.25/964,195.50
  6. Step 6: Final answer
    x = 4,650,415.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.