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Finding the Third Proportional to 762,013 and 1,638,722

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Solution

The third proportional to 762,013 and 1,638,722 is: 3,524,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,013 : 1,638,722 = 1,638,722 : x
  2. Step 2: Convert to fraction form
    762,013/1,638,722 = 1,638,722/x
  3. Step 3: Cross multiply
    762,013x = 1,638,722 × 1,638,722
  4. Step 4: Simplify right side
    762,013x = 2,685,409,793,284
  5. Step 5: Solve for x
    x = 2,685,409,793,284/762,013
  6. Step 6: Final answer
    x = 3,524,099.71

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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.