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Finding the Third Proportional to 980,274 and 1,499,247

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Solution

The third proportional to 980,274 and 1,499,247 is: 2,292,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,274 : 1,499,247 = 1,499,247 : x
  2. Step 2: Convert to fraction form
    980,274/1,499,247 = 1,499,247/x
  3. Step 3: Cross multiply
    980,274x = 1,499,247 × 1,499,247
  4. Step 4: Simplify right side
    980,274x = 2,247,741,567,009
  5. Step 5: Solve for x
    x = 2,247,741,567,009/980,274
  6. Step 6: Final answer
    x = 2,292,972.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.