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Finding the Third Proportional to 539,734 and 1,184,444

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Solution

The third proportional to 539,734 and 1,184,444 is: 2,599,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,734 : 1,184,444 = 1,184,444 : x
  2. Step 2: Convert to fraction form
    539,734/1,184,444 = 1,184,444/x
  3. Step 3: Cross multiply
    539,734x = 1,184,444 × 1,184,444
  4. Step 4: Simplify right side
    539,734x = 1,402,907,589,136
  5. Step 5: Solve for x
    x = 1,402,907,589,136/539,734
  6. Step 6: Final answer
    x = 2,599,257.39

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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.