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Finding the Third Proportional to 602,601 and 826,299

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Solution

The third proportional to 602,601 and 826,299 is: 1,133,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,601 : 826,299 = 826,299 : x
  2. Step 2: Convert to fraction form
    602,601/826,299 = 826,299/x
  3. Step 3: Cross multiply
    602,601x = 826,299 × 826,299
  4. Step 4: Simplify right side
    602,601x = 682,770,037,401
  5. Step 5: Solve for x
    x = 682,770,037,401/602,601
  6. Step 6: Final answer
    x = 1,133,038.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.