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Finding the Third Proportional to 513,100.50 and 1,187,697

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Solution

The third proportional to 513,100.50 and 1,187,697 is: 2,749,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,100.50 : 1,187,697 = 1,187,697 : x
  2. Step 2: Convert to fraction form
    513,100.50/1,187,697 = 1,187,697/x
  3. Step 3: Cross multiply
    513,100.50x = 1,187,697 × 1,187,697
  4. Step 4: Simplify right side
    513,100.50x = 1,410,624,163,809
  5. Step 5: Solve for x
    x = 1,410,624,163,809/513,100.50
  6. Step 6: Final answer
    x = 2,749,216.12

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.