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Finding the Third Proportional to 661,581 and 1,449,249

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Solution

The third proportional to 661,581 and 1,449,249 is: 3,174,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,581 : 1,449,249 = 1,449,249 : x
  2. Step 2: Convert to fraction form
    661,581/1,449,249 = 1,449,249/x
  3. Step 3: Cross multiply
    661,581x = 1,449,249 × 1,449,249
  4. Step 4: Simplify right side
    661,581x = 2,100,322,664,001
  5. Step 5: Solve for x
    x = 2,100,322,664,001/661,581
  6. Step 6: Final answer
    x = 3,174,702.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.