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Finding the Third Proportional to 467,784 and 984,468

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Solution

The third proportional to 467,784 and 984,468 is: 2,071,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,784 : 984,468 = 984,468 : x
  2. Step 2: Convert to fraction form
    467,784/984,468 = 984,468/x
  3. Step 3: Cross multiply
    467,784x = 984,468 × 984,468
  4. Step 4: Simplify right side
    467,784x = 969,177,243,024
  5. Step 5: Solve for x
    x = 969,177,243,024/467,784
  6. Step 6: Final answer
    x = 2,071,847.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.