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Finding the Third Proportional to 1,036,002 and 1,600,019

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Solution

The third proportional to 1,036,002 and 1,600,019 is: 2,471,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,002 : 1,600,019 = 1,600,019 : x
  2. Step 2: Convert to fraction form
    1,036,002/1,600,019 = 1,600,019/x
  3. Step 3: Cross multiply
    1,036,002x = 1,600,019 × 1,600,019
  4. Step 4: Simplify right side
    1,036,002x = 2,560,060,800,361
  5. Step 5: Solve for x
    x = 2,560,060,800,361/1,036,002
  6. Step 6: Final answer
    x = 2,471,096.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.