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Finding the Third Proportional to 1,166,622.50 and 2,414,165

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Solution

The third proportional to 1,166,622.50 and 2,414,165 is: 4,995,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,622.50 : 2,414,165 = 2,414,165 : x
  2. Step 2: Convert to fraction form
    1,166,622.50/2,414,165 = 2,414,165/x
  3. Step 3: Cross multiply
    1,166,622.50x = 2,414,165 × 2,414,165
  4. Step 4: Simplify right side
    1,166,622.50x = 5,828,192,647,225
  5. Step 5: Solve for x
    x = 5,828,192,647,225/1,166,622.50
  6. Step 6: Final answer
    x = 4,995,782.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.