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Finding the Third Proportional to 436,816.69 and 938,470.22

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Solution

The third proportional to 436,816.69 and 938,470.22 is: 2,016,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,816.69 : 938,470.22 = 938,470.22 : x
  2. Step 2: Convert to fraction form
    436,816.69/938,470.22 = 938,470.22/x
  3. Step 3: Cross multiply
    436,816.69x = 938,470.22 × 938,470.22
  4. Step 4: Simplify right side
    436,816.69x = 880,726,351,480.67
  5. Step 5: Solve for x
    x = 880,726,351,480.67/436,816.69
  6. Step 6: Final answer
    x = 2,016,237.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.