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Finding the Third Proportional to 869,782.50 and 1,764,019.50

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Solution

The third proportional to 869,782.50 and 1,764,019.50 is: 3,577,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,782.50 : 1,764,019.50 = 1,764,019.50 : x
  2. Step 2: Convert to fraction form
    869,782.50/1,764,019.50 = 1,764,019.50/x
  3. Step 3: Cross multiply
    869,782.50x = 1,764,019.50 × 1,764,019.50
  4. Step 4: Simplify right side
    869,782.50x = 3,111,764,796,380.25
  5. Step 5: Solve for x
    x = 3,111,764,796,380.25/869,782.50
  6. Step 6: Final answer
    x = 3,577,635.55

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.