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Finding the Third Proportional to 769,319 and 1,780,836

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Solution

The third proportional to 769,319 and 1,780,836 is: 4,122,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,319 : 1,780,836 = 1,780,836 : x
  2. Step 2: Convert to fraction form
    769,319/1,780,836 = 1,780,836/x
  3. Step 3: Cross multiply
    769,319x = 1,780,836 × 1,780,836
  4. Step 4: Simplify right side
    769,319x = 3,171,376,858,896
  5. Step 5: Solve for x
    x = 3,171,376,858,896/769,319
  6. Step 6: Final answer
    x = 4,122,317.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.