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Finding the Third Proportional to 544,120 and 1,184,608

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Solution

The third proportional to 544,120 and 1,184,608 is: 2,579,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,120 : 1,184,608 = 1,184,608 : x
  2. Step 2: Convert to fraction form
    544,120/1,184,608 = 1,184,608/x
  3. Step 3: Cross multiply
    544,120x = 1,184,608 × 1,184,608
  4. Step 4: Simplify right side
    544,120x = 1,403,296,113,664
  5. Step 5: Solve for x
    x = 1,403,296,113,664/544,120
  6. Step 6: Final answer
    x = 2,579,019.54

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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.