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Finding the Third Proportional to 543,960 and 1,184,697

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Solution

The third proportional to 543,960 and 1,184,697 is: 2,580,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,960 : 1,184,697 = 1,184,697 : x
  2. Step 2: Convert to fraction form
    543,960/1,184,697 = 1,184,697/x
  3. Step 3: Cross multiply
    543,960x = 1,184,697 × 1,184,697
  4. Step 4: Simplify right side
    543,960x = 1,403,506,981,809
  5. Step 5: Solve for x
    x = 1,403,506,981,809/543,960
  6. Step 6: Final answer
    x = 2,580,165.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.