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Finding the Third Proportional to 602,676 and 826,380

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Solution

The third proportional to 602,676 and 826,380 is: 1,133,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,676 : 826,380 = 826,380 : x
  2. Step 2: Convert to fraction form
    602,676/826,380 = 826,380/x
  3. Step 3: Cross multiply
    602,676x = 826,380 × 826,380
  4. Step 4: Simplify right side
    602,676x = 682,903,904,400
  5. Step 5: Solve for x
    x = 682,903,904,400/602,676
  6. Step 6: Final answer
    x = 1,133,119.46

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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.