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Finding the Third Proportional to 494,096 and 1,077,408

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Solution

The third proportional to 494,096 and 1,077,408 is: 2,349,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,096 : 1,077,408 = 1,077,408 : x
  2. Step 2: Convert to fraction form
    494,096/1,077,408 = 1,077,408/x
  3. Step 3: Cross multiply
    494,096x = 1,077,408 × 1,077,408
  4. Step 4: Simplify right side
    494,096x = 1,160,807,998,464
  5. Step 5: Solve for x
    x = 1,160,807,998,464/494,096
  6. Step 6: Final answer
    x = 2,349,357.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.