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Finding the Third Proportional to 436,302 and 951,444

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Solution

The third proportional to 436,302 and 951,444 is: 2,074,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,302 : 951,444 = 951,444 : x
  2. Step 2: Convert to fraction form
    436,302/951,444 = 951,444/x
  3. Step 3: Cross multiply
    436,302x = 951,444 × 951,444
  4. Step 4: Simplify right side
    436,302x = 905,245,685,136
  5. Step 5: Solve for x
    x = 905,245,685,136/436,302
  6. Step 6: Final answer
    x = 2,074,814.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.