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Finding the Third Proportional to 474,842 and 967,266

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Solution

The third proportional to 474,842 and 967,266 is: 1,970,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,842 : 967,266 = 967,266 : x
  2. Step 2: Convert to fraction form
    474,842/967,266 = 967,266/x
  3. Step 3: Cross multiply
    474,842x = 967,266 × 967,266
  4. Step 4: Simplify right side
    474,842x = 935,603,514,756
  5. Step 5: Solve for x
    x = 935,603,514,756/474,842
  6. Step 6: Final answer
    x = 1,970,347.01

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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.