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Finding the Third Proportional to 547,652 and 1,198,370

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Solution

The third proportional to 547,652 and 1,198,370 is: 2,622,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,652 : 1,198,370 = 1,198,370 : x
  2. Step 2: Convert to fraction form
    547,652/1,198,370 = 1,198,370/x
  3. Step 3: Cross multiply
    547,652x = 1,198,370 × 1,198,370
  4. Step 4: Simplify right side
    547,652x = 1,436,090,656,900
  5. Step 5: Solve for x
    x = 1,436,090,656,900/547,652
  6. Step 6: Final answer
    x = 2,622,268.62

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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.