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Finding the Third Proportional to 757,923 and 1,620,864

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Solution

The third proportional to 757,923 and 1,620,864 is: 3,466,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,923 : 1,620,864 = 1,620,864 : x
  2. Step 2: Convert to fraction form
    757,923/1,620,864 = 1,620,864/x
  3. Step 3: Cross multiply
    757,923x = 1,620,864 × 1,620,864
  4. Step 4: Simplify right side
    757,923x = 2,627,200,106,496
  5. Step 5: Solve for x
    x = 2,627,200,106,496/757,923
  6. Step 6: Final answer
    x = 3,466,315.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.