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Finding the Third Proportional to 449,744 and 963,244

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Solution

The third proportional to 449,744 and 963,244 is: 2,063,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,744 : 963,244 = 963,244 : x
  2. Step 2: Convert to fraction form
    449,744/963,244 = 963,244/x
  3. Step 3: Cross multiply
    449,744x = 963,244 × 963,244
  4. Step 4: Simplify right side
    449,744x = 927,839,003,536
  5. Step 5: Solve for x
    x = 927,839,003,536/449,744
  6. Step 6: Final answer
    x = 2,063,038.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.