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Finding the Third Proportional to 572,086 and 1,232,768.75

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Solution

The third proportional to 572,086 and 1,232,768.75 is: 2,656,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,086 : 1,232,768.75 = 1,232,768.75 : x
  2. Step 2: Convert to fraction form
    572,086/1,232,768.75 = 1,232,768.75/x
  3. Step 3: Cross multiply
    572,086x = 1,232,768.75 × 1,232,768.75
  4. Step 4: Simplify right side
    572,086x = 1,519,718,790,976.56
  5. Step 5: Solve for x
    x = 1,519,718,790,976.56/572,086
  6. Step 6: Final answer
    x = 2,656,451.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.