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Finding the Third Proportional to 488,754 and 1,082,484

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Solution

The third proportional to 488,754 and 1,082,484 is: 2,397,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,754 : 1,082,484 = 1,082,484 : x
  2. Step 2: Convert to fraction form
    488,754/1,082,484 = 1,082,484/x
  3. Step 3: Cross multiply
    488,754x = 1,082,484 × 1,082,484
  4. Step 4: Simplify right side
    488,754x = 1,171,771,610,256
  5. Step 5: Solve for x
    x = 1,171,771,610,256/488,754
  6. Step 6: Final answer
    x = 2,397,467.05

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.