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Finding the Third Proportional to 540,144 and 1,164,027

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Solution

The third proportional to 540,144 and 1,164,027 is: 2,508,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,144 : 1,164,027 = 1,164,027 : x
  2. Step 2: Convert to fraction form
    540,144/1,164,027 = 1,164,027/x
  3. Step 3: Cross multiply
    540,144x = 1,164,027 × 1,164,027
  4. Step 4: Simplify right side
    540,144x = 1,354,958,856,729
  5. Step 5: Solve for x
    x = 1,354,958,856,729/540,144
  6. Step 6: Final answer
    x = 2,508,514.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.