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Finding the Third Proportional to 666,591.56 and 1,477,317.56

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Solution

The third proportional to 666,591.56 and 1,477,317.56 is: 3,274,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,591.56 : 1,477,317.56 = 1,477,317.56 : x
  2. Step 2: Convert to fraction form
    666,591.56/1,477,317.56 = 1,477,317.56/x
  3. Step 3: Cross multiply
    666,591.56x = 1,477,317.56 × 1,477,317.56
  4. Step 4: Simplify right side
    666,591.56x = 2,182,467,180,470.94
  5. Step 5: Solve for x
    x = 2,182,467,180,470.94/666,591.56
  6. Step 6: Final answer
    x = 3,274,069.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.