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Finding the Third Proportional to 2,036,427 and 4,021,455

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Solution

The third proportional to 2,036,427 and 4,021,455 is: 7,941,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,427 : 4,021,455 = 4,021,455 : x
  2. Step 2: Convert to fraction form
    2,036,427/4,021,455 = 4,021,455/x
  3. Step 3: Cross multiply
    2,036,427x = 4,021,455 × 4,021,455
  4. Step 4: Simplify right side
    2,036,427x = 16,172,100,317,025
  5. Step 5: Solve for x
    x = 16,172,100,317,025/2,036,427
  6. Step 6: Final answer
    x = 7,941,409.30

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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.