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Finding the Third Proportional to 1,099,380.75 and 1,681,767.75

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Solution

The third proportional to 1,099,380.75 and 1,681,767.75 is: 2,572,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,380.75 : 1,681,767.75 = 1,681,767.75 : x
  2. Step 2: Convert to fraction form
    1,099,380.75/1,681,767.75 = 1,681,767.75/x
  3. Step 3: Cross multiply
    1,099,380.75x = 1,681,767.75 × 1,681,767.75
  4. Step 4: Simplify right side
    1,099,380.75x = 2,828,342,764,940.06
  5. Step 5: Solve for x
    x = 2,828,342,764,940.06/1,099,380.75
  6. Step 6: Final answer
    x = 2,572,668.99

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