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Finding the Third Proportional to 1,082,708 and 2,381,416

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Solution

The third proportional to 1,082,708 and 2,381,416 is: 5,237,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,708 : 2,381,416 = 2,381,416 : x
  2. Step 2: Convert to fraction form
    1,082,708/2,381,416 = 2,381,416/x
  3. Step 3: Cross multiply
    1,082,708x = 2,381,416 × 2,381,416
  4. Step 4: Simplify right side
    1,082,708x = 5,671,142,165,056
  5. Step 5: Solve for x
    x = 5,671,142,165,056/1,082,708
  6. Step 6: Final answer
    x = 5,237,923.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.