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Finding the Third Proportional to 512,871.75 and 1,112,676.75

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Solution

The third proportional to 512,871.75 and 1,112,676.75 is: 2,413,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,871.75 : 1,112,676.75 = 1,112,676.75 : x
  2. Step 2: Convert to fraction form
    512,871.75/1,112,676.75 = 1,112,676.75/x
  3. Step 3: Cross multiply
    512,871.75x = 1,112,676.75 × 1,112,676.75
  4. Step 4: Simplify right side
    512,871.75x = 1,238,049,549,990.56
  5. Step 5: Solve for x
    x = 1,238,049,549,990.56/512,871.75
  6. Step 6: Final answer
    x = 2,413,955.44

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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.