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Finding the Third Proportional to 436,838 and 959,332

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Solution

The third proportional to 436,838 and 959,332 is: 2,106,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,838 : 959,332 = 959,332 : x
  2. Step 2: Convert to fraction form
    436,838/959,332 = 959,332/x
  3. Step 3: Cross multiply
    436,838x = 959,332 × 959,332
  4. Step 4: Simplify right side
    436,838x = 920,317,886,224
  5. Step 5: Solve for x
    x = 920,317,886,224/436,838
  6. Step 6: Final answer
    x = 2,106,771.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.