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Finding the Third Proportional to 523,751 and 836,819

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Solution

The third proportional to 523,751 and 836,819 is: 1,337,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,751 : 836,819 = 836,819 : x
  2. Step 2: Convert to fraction form
    523,751/836,819 = 836,819/x
  3. Step 3: Cross multiply
    523,751x = 836,819 × 836,819
  4. Step 4: Simplify right side
    523,751x = 700,266,038,761
  5. Step 5: Solve for x
    x = 700,266,038,761/523,751
  6. Step 6: Final answer
    x = 1,337,020.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.