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Finding the Third Proportional to 544,086 and 1,184,544

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Solution

The third proportional to 544,086 and 1,184,544 is: 2,578,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,086 : 1,184,544 = 1,184,544 : x
  2. Step 2: Convert to fraction form
    544,086/1,184,544 = 1,184,544/x
  3. Step 3: Cross multiply
    544,086x = 1,184,544 × 1,184,544
  4. Step 4: Simplify right side
    544,086x = 1,403,144,487,936
  5. Step 5: Solve for x
    x = 1,403,144,487,936/544,086
  6. Step 6: Final answer
    x = 2,578,902.03

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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.