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Finding the Third Proportional to 544,098 and 1,184,568

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Solution

The third proportional to 544,098 and 1,184,568 is: 2,578,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,098 : 1,184,568 = 1,184,568 : x
  2. Step 2: Convert to fraction form
    544,098/1,184,568 = 1,184,568/x
  3. Step 3: Cross multiply
    544,098x = 1,184,568 × 1,184,568
  4. Step 4: Simplify right side
    544,098x = 1,403,201,346,624
  5. Step 5: Solve for x
    x = 1,403,201,346,624/544,098
  6. Step 6: Final answer
    x = 2,578,949.65

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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.