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Finding the Third Proportional to 548,722 and 1,197,992

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Solution

The third proportional to 548,722 and 1,197,992 is: 2,615,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,722 : 1,197,992 = 1,197,992 : x
  2. Step 2: Convert to fraction form
    548,722/1,197,992 = 1,197,992/x
  3. Step 3: Cross multiply
    548,722x = 1,197,992 × 1,197,992
  4. Step 4: Simplify right side
    548,722x = 1,435,184,832,064
  5. Step 5: Solve for x
    x = 1,435,184,832,064/548,722
  6. Step 6: Final answer
    x = 2,615,504.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.