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Finding the Third Proportional to 2,036,159 and 4,020,923

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Solution

The third proportional to 2,036,159 and 4,020,923 is: 7,940,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,159 : 4,020,923 = 4,020,923 : x
  2. Step 2: Convert to fraction form
    2,036,159/4,020,923 = 4,020,923/x
  3. Step 3: Cross multiply
    2,036,159x = 4,020,923 × 4,020,923
  4. Step 4: Simplify right side
    2,036,159x = 16,167,821,771,929
  5. Step 5: Solve for x
    x = 16,167,821,771,929/2,036,159
  6. Step 6: Final answer
    x = 7,940,353.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.