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Finding the Third Proportional to 467,808 and 967,704

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Solution

The third proportional to 467,808 and 967,704 is: 2,001,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,808 : 967,704 = 967,704 : x
  2. Step 2: Convert to fraction form
    467,808/967,704 = 967,704/x
  3. Step 3: Cross multiply
    467,808x = 967,704 × 967,704
  4. Step 4: Simplify right side
    467,808x = 936,451,031,616
  5. Step 5: Solve for x
    x = 936,451,031,616/467,808
  6. Step 6: Final answer
    x = 2,001,784.99

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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.