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Finding the Third Proportional to 789,456 and 1,736,374

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Solution

The third proportional to 789,456 and 1,736,374 is: 3,819,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,456 : 1,736,374 = 1,736,374 : x
  2. Step 2: Convert to fraction form
    789,456/1,736,374 = 1,736,374/x
  3. Step 3: Cross multiply
    789,456x = 1,736,374 × 1,736,374
  4. Step 4: Simplify right side
    789,456x = 3,014,994,667,876
  5. Step 5: Solve for x
    x = 3,014,994,667,876/789,456
  6. Step 6: Final answer
    x = 3,819,078.79

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