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Finding the Third Proportional to 436,384 and 951,616

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Solution

The third proportional to 436,384 and 951,616 is: 2,075,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,384 : 951,616 = 951,616 : x
  2. Step 2: Convert to fraction form
    436,384/951,616 = 951,616/x
  3. Step 3: Cross multiply
    436,384x = 951,616 × 951,616
  4. Step 4: Simplify right side
    436,384x = 905,573,011,456
  5. Step 5: Solve for x
    x = 905,573,011,456/436,384
  6. Step 6: Final answer
    x = 2,075,174.64

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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.