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Finding the Third Proportional to 474,034 and 1,024,249

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Solution

The third proportional to 474,034 and 1,024,249 is: 2,213,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,034 : 1,024,249 = 1,024,249 : x
  2. Step 2: Convert to fraction form
    474,034/1,024,249 = 1,024,249/x
  3. Step 3: Cross multiply
    474,034x = 1,024,249 × 1,024,249
  4. Step 4: Simplify right side
    474,034x = 1,049,086,014,001
  5. Step 5: Solve for x
    x = 1,049,086,014,001/474,034
  6. Step 6: Final answer
    x = 2,213,102.89

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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.