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Finding the Third Proportional to 474,844 and 967,270

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Solution

The third proportional to 474,844 and 967,270 is: 1,970,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,844 : 967,270 = 967,270 : x
  2. Step 2: Convert to fraction form
    474,844/967,270 = 967,270/x
  3. Step 3: Cross multiply
    474,844x = 967,270 × 967,270
  4. Step 4: Simplify right side
    474,844x = 935,611,252,900
  5. Step 5: Solve for x
    x = 935,611,252,900/474,844
  6. Step 6: Final answer
    x = 1,970,355.01

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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.