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Finding the Third Proportional to 985,728 and 2,007,184

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Solution

The third proportional to 985,728 and 2,007,184 is: 4,087,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,728 : 2,007,184 = 2,007,184 : x
  2. Step 2: Convert to fraction form
    985,728/2,007,184 = 2,007,184/x
  3. Step 3: Cross multiply
    985,728x = 2,007,184 × 2,007,184
  4. Step 4: Simplify right side
    985,728x = 4,028,787,609,856
  5. Step 5: Solve for x
    x = 4,028,787,609,856/985,728
  6. Step 6: Final answer
    x = 4,087,118.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.