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Finding the Third Proportional to 547,627 and 1,198,487

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Solution

The third proportional to 547,627 and 1,198,487 is: 2,622,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,627 : 1,198,487 = 1,198,487 : x
  2. Step 2: Convert to fraction form
    547,627/1,198,487 = 1,198,487/x
  3. Step 3: Cross multiply
    547,627x = 1,198,487 × 1,198,487
  4. Step 4: Simplify right side
    547,627x = 1,436,371,089,169
  5. Step 5: Solve for x
    x = 1,436,371,089,169/547,627
  6. Step 6: Final answer
    x = 2,622,900.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.