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Finding the Third Proportional to 984,094 and 1,471,017

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Solution

The third proportional to 984,094 and 1,471,017 is: 2,198,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,094 : 1,471,017 = 1,471,017 : x
  2. Step 2: Convert to fraction form
    984,094/1,471,017 = 1,471,017/x
  3. Step 3: Cross multiply
    984,094x = 1,471,017 × 1,471,017
  4. Step 4: Simplify right side
    984,094x = 2,163,891,014,289
  5. Step 5: Solve for x
    x = 2,163,891,014,289/984,094
  6. Step 6: Final answer
    x = 2,198,866.18

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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.