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Finding the Third Proportional to 467,788 and 984,477

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Solution

The third proportional to 467,788 and 984,477 is: 2,071,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,788 : 984,477 = 984,477 : x
  2. Step 2: Convert to fraction form
    467,788/984,477 = 984,477/x
  3. Step 3: Cross multiply
    467,788x = 984,477 × 984,477
  4. Step 4: Simplify right side
    467,788x = 969,194,963,529
  5. Step 5: Solve for x
    x = 969,194,963,529/467,788
  6. Step 6: Final answer
    x = 2,071,867.95

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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.