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Finding the Third Proportional to 984,104 and 1,471,028

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Solution

The third proportional to 984,104 and 1,471,028 is: 2,198,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,104 : 1,471,028 = 1,471,028 : x
  2. Step 2: Convert to fraction form
    984,104/1,471,028 = 1,471,028/x
  3. Step 3: Cross multiply
    984,104x = 1,471,028 × 1,471,028
  4. Step 4: Simplify right side
    984,104x = 2,163,923,376,784
  5. Step 5: Solve for x
    x = 2,163,923,376,784/984,104
  6. Step 6: Final answer
    x = 2,198,876.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.