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Finding the Third Proportional to 712,825.31 and 1,094,183.44

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Solution

The third proportional to 712,825.31 and 1,094,183.44 is: 1,679,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,825.31 : 1,094,183.44 = 1,094,183.44 : x
  2. Step 2: Convert to fraction form
    712,825.31/1,094,183.44 = 1,094,183.44/x
  3. Step 3: Cross multiply
    712,825.31x = 1,094,183.44 × 1,094,183.44
  4. Step 4: Simplify right side
    712,825.31x = 1,197,237,394,899.32
  5. Step 5: Solve for x
    x = 1,197,237,394,899.32/712,825.31
  6. Step 6: Final answer
    x = 1,679,566.33

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Why These Related Problems?

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