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Finding the Third Proportional to 579,841 and 877,782

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Solution

The third proportional to 579,841 and 877,782 is: 1,328,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,841 : 877,782 = 877,782 : x
  2. Step 2: Convert to fraction form
    579,841/877,782 = 877,782/x
  3. Step 3: Cross multiply
    579,841x = 877,782 × 877,782
  4. Step 4: Simplify right side
    579,841x = 770,501,239,524
  5. Step 5: Solve for x
    x = 770,501,239,524/579,841
  6. Step 6: Final answer
    x = 1,328,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.