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Finding the Third Proportional to 1,397,823 and 3,057,357

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Solution

The third proportional to 1,397,823 and 3,057,357 is: 6,687,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,823 : 3,057,357 = 3,057,357 : x
  2. Step 2: Convert to fraction form
    1,397,823/3,057,357 = 3,057,357/x
  3. Step 3: Cross multiply
    1,397,823x = 3,057,357 × 3,057,357
  4. Step 4: Simplify right side
    1,397,823x = 9,347,431,825,449
  5. Step 5: Solve for x
    x = 9,347,431,825,449/1,397,823
  6. Step 6: Final answer
    x = 6,687,135.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.