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Finding the Third Proportional to 984,256.31 and 2,047,080.09

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Solution

The third proportional to 984,256.31 and 2,047,080.09 is: 4,257,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,256.31 : 2,047,080.09 = 2,047,080.09 : x
  2. Step 2: Convert to fraction form
    984,256.31/2,047,080.09 = 2,047,080.09/x
  3. Step 3: Cross multiply
    984,256.31x = 2,047,080.09 × 2,047,080.09
  4. Step 4: Simplify right side
    984,256.31x = 4,190,536,910,227.51
  5. Step 5: Solve for x
    x = 4,190,536,910,227.51/984,256.31
  6. Step 6: Final answer
    x = 4,257,566.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.