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Finding the Third Proportional to 499,073 and 1,082,224

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Solution

The third proportional to 499,073 and 1,082,224 is: 2,346,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,073 : 1,082,224 = 1,082,224 : x
  2. Step 2: Convert to fraction form
    499,073/1,082,224 = 1,082,224/x
  3. Step 3: Cross multiply
    499,073x = 1,082,224 × 1,082,224
  4. Step 4: Simplify right side
    499,073x = 1,171,208,786,176
  5. Step 5: Solve for x
    x = 1,171,208,786,176/499,073
  6. Step 6: Final answer
    x = 2,346,768.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.