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Finding the Third Proportional to 1,661,984.75 and 3,572,247

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Solution

The third proportional to 1,661,984.75 and 3,572,247 is: 7,678,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,984.75 : 3,572,247 = 3,572,247 : x
  2. Step 2: Convert to fraction form
    1,661,984.75/3,572,247 = 3,572,247/x
  3. Step 3: Cross multiply
    1,661,984.75x = 3,572,247 × 3,572,247
  4. Step 4: Simplify right side
    1,661,984.75x = 12,760,948,629,009
  5. Step 5: Solve for x
    x = 12,760,948,629,009/1,661,984.75
  6. Step 6: Final answer
    x = 7,678,138.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.