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Finding the Third Proportional to 769,644 and 1,781,529.75

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Solution

The third proportional to 769,644 and 1,781,529.75 is: 4,123,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,644 : 1,781,529.75 = 1,781,529.75 : x
  2. Step 2: Convert to fraction form
    769,644/1,781,529.75 = 1,781,529.75/x
  3. Step 3: Cross multiply
    769,644x = 1,781,529.75 × 1,781,529.75
  4. Step 4: Simplify right side
    769,644x = 3,173,848,250,135.06
  5. Step 5: Solve for x
    x = 3,173,848,250,135.06/769,644
  6. Step 6: Final answer
    x = 4,123,787.43

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