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Finding the Third Proportional to 383,859 and 826,038

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Solution

The third proportional to 383,859 and 826,038 is: 1,777,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,859 : 826,038 = 826,038 : x
  2. Step 2: Convert to fraction form
    383,859/826,038 = 826,038/x
  3. Step 3: Cross multiply
    383,859x = 826,038 × 826,038
  4. Step 4: Simplify right side
    383,859x = 682,338,777,444
  5. Step 5: Solve for x
    x = 682,338,777,444/383,859
  6. Step 6: Final answer
    x = 1,777,576.60

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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.