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Finding the Third Proportional to 543,751 and 818,769

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Solution

The third proportional to 543,751 and 818,769 is: 1,232,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,751 : 818,769 = 818,769 : x
  2. Step 2: Convert to fraction form
    543,751/818,769 = 818,769/x
  3. Step 3: Cross multiply
    543,751x = 818,769 × 818,769
  4. Step 4: Simplify right side
    543,751x = 670,382,675,361
  5. Step 5: Solve for x
    x = 670,382,675,361/543,751
  6. Step 6: Final answer
    x = 1,232,885.41

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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.