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Finding the Third Proportional to 2,036,165 and 4,020,934

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Solution

The third proportional to 2,036,165 and 4,020,934 is: 7,940,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,165 : 4,020,934 = 4,020,934 : x
  2. Step 2: Convert to fraction form
    2,036,165/4,020,934 = 4,020,934/x
  3. Step 3: Cross multiply
    2,036,165x = 4,020,934 × 4,020,934
  4. Step 4: Simplify right side
    2,036,165x = 16,167,910,232,356
  5. Step 5: Solve for x
    x = 16,167,910,232,356/2,036,165
  6. Step 6: Final answer
    x = 7,940,373.32

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