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Finding the Third Proportional to 539,738 and 1,184,452

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Solution

The third proportional to 539,738 and 1,184,452 is: 2,599,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,738 : 1,184,452 = 1,184,452 : x
  2. Step 2: Convert to fraction form
    539,738/1,184,452 = 1,184,452/x
  3. Step 3: Cross multiply
    539,738x = 1,184,452 × 1,184,452
  4. Step 4: Simplify right side
    539,738x = 1,402,926,540,304
  5. Step 5: Solve for x
    x = 1,402,926,540,304/539,738
  6. Step 6: Final answer
    x = 2,599,273.24

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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.