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Finding the Third Proportional to 984,100 and 1,471,026

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Solution

The third proportional to 984,100 and 1,471,026 is: 2,198,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,100 : 1,471,026 = 1,471,026 : x
  2. Step 2: Convert to fraction form
    984,100/1,471,026 = 1,471,026/x
  3. Step 3: Cross multiply
    984,100x = 1,471,026 × 1,471,026
  4. Step 4: Simplify right side
    984,100x = 2,163,917,492,676
  5. Step 5: Solve for x
    x = 2,163,917,492,676/984,100
  6. Step 6: Final answer
    x = 2,198,879.68

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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.