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Finding the Third Proportional to 619,772.06 and 947,994.75

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Solution

The third proportional to 619,772.06 and 947,994.75 is: 1,450,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,772.06 : 947,994.75 = 947,994.75 : x
  2. Step 2: Convert to fraction form
    619,772.06/947,994.75 = 947,994.75/x
  3. Step 3: Cross multiply
    619,772.06x = 947,994.75 × 947,994.75
  4. Step 4: Simplify right side
    619,772.06x = 898,694,046,027.56
  5. Step 5: Solve for x
    x = 898,694,046,027.56/619,772.06
  6. Step 6: Final answer
    x = 1,450,039.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.