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Finding the Third Proportional to 449,129 and 981,546

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Solution

The third proportional to 449,129 and 981,546 is: 2,145,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,129 : 981,546 = 981,546 : x
  2. Step 2: Convert to fraction form
    449,129/981,546 = 981,546/x
  3. Step 3: Cross multiply
    449,129x = 981,546 × 981,546
  4. Step 4: Simplify right side
    449,129x = 963,432,550,116
  5. Step 5: Solve for x
    x = 963,432,550,116/449,129
  6. Step 6: Final answer
    x = 2,145,113.21

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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.