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Finding the Third Proportional to 611,484.75 and 1,296,960.75

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Solution

The third proportional to 611,484.75 and 1,296,960.75 is: 2,750,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,484.75 : 1,296,960.75 = 1,296,960.75 : x
  2. Step 2: Convert to fraction form
    611,484.75/1,296,960.75 = 1,296,960.75/x
  3. Step 3: Cross multiply
    611,484.75x = 1,296,960.75 × 1,296,960.75
  4. Step 4: Simplify right side
    611,484.75x = 1,682,107,187,040.56
  5. Step 5: Solve for x
    x = 1,682,107,187,040.56/611,484.75
  6. Step 6: Final answer
    x = 2,750,857.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.