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Finding the Third Proportional to 474,936 and 967,416

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Solution

The third proportional to 474,936 and 967,416 is: 1,970,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,936 : 967,416 = 967,416 : x
  2. Step 2: Convert to fraction form
    474,936/967,416 = 967,416/x
  3. Step 3: Cross multiply
    474,936x = 967,416 × 967,416
  4. Step 4: Simplify right side
    474,936x = 935,893,717,056
  5. Step 5: Solve for x
    x = 935,893,717,056/474,936
  6. Step 6: Final answer
    x = 1,970,568.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.