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Finding the Third Proportional to 962,223.75 and 2,083,254.75

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Solution

The third proportional to 962,223.75 and 2,083,254.75 is: 4,510,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,223.75 : 2,083,254.75 = 2,083,254.75 : x
  2. Step 2: Convert to fraction form
    962,223.75/2,083,254.75 = 2,083,254.75/x
  3. Step 3: Cross multiply
    962,223.75x = 2,083,254.75 × 2,083,254.75
  4. Step 4: Simplify right side
    962,223.75x = 4,339,950,353,397.56
  5. Step 5: Solve for x
    x = 4,339,950,353,397.56/962,223.75
  6. Step 6: Final answer
    x = 4,510,333.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.