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Finding the Third Proportional to 467,096 and 967,408

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Solution

The third proportional to 467,096 and 967,408 is: 2,003,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,096 : 967,408 = 967,408 : x
  2. Step 2: Convert to fraction form
    467,096/967,408 = 967,408/x
  3. Step 3: Cross multiply
    467,096x = 967,408 × 967,408
  4. Step 4: Simplify right side
    467,096x = 935,878,238,464
  5. Step 5: Solve for x
    x = 935,878,238,464/467,096
  6. Step 6: Final answer
    x = 2,003,610.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.