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Finding the Third Proportional to 543,144 and 821,706

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Solution

The third proportional to 543,144 and 821,706 is: 1,243,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,144 : 821,706 = 821,706 : x
  2. Step 2: Convert to fraction form
    543,144/821,706 = 821,706/x
  3. Step 3: Cross multiply
    543,144x = 821,706 × 821,706
  4. Step 4: Simplify right side
    543,144x = 675,200,750,436
  5. Step 5: Solve for x
    x = 675,200,750,436/543,144
  6. Step 6: Final answer
    x = 1,243,133.96

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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.