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Finding the Third Proportional to 856,757.25 and 1,861,000.31

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Solution

The third proportional to 856,757.25 and 1,861,000.31 is: 4,042,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,757.25 : 1,861,000.31 = 1,861,000.31 : x
  2. Step 2: Convert to fraction form
    856,757.25/1,861,000.31 = 1,861,000.31/x
  3. Step 3: Cross multiply
    856,757.25x = 1,861,000.31 × 1,861,000.31
  4. Step 4: Simplify right side
    856,757.25x = 3,463,322,163,125.10
  5. Step 5: Solve for x
    x = 3,463,322,163,125.10/856,757.25
  6. Step 6: Final answer
    x = 4,042,361.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.