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Finding the Third Proportional to 501,960 and 1,082,112

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Solution

The third proportional to 501,960 and 1,082,112 is: 2,332,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,960 : 1,082,112 = 1,082,112 : x
  2. Step 2: Convert to fraction form
    501,960/1,082,112 = 1,082,112/x
  3. Step 3: Cross multiply
    501,960x = 1,082,112 × 1,082,112
  4. Step 4: Simplify right side
    501,960x = 1,170,966,380,544
  5. Step 5: Solve for x
    x = 1,170,966,380,544/501,960
  6. Step 6: Final answer
    x = 2,332,788.23

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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.