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Finding the Third Proportional to 905,768 and 1,850,864

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Solution

The third proportional to 905,768 and 1,850,864 is: 3,782,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,768 : 1,850,864 = 1,850,864 : x
  2. Step 2: Convert to fraction form
    905,768/1,850,864 = 1,850,864/x
  3. Step 3: Cross multiply
    905,768x = 1,850,864 × 1,850,864
  4. Step 4: Simplify right side
    905,768x = 3,425,697,546,496
  5. Step 5: Solve for x
    x = 3,425,697,546,496/905,768
  6. Step 6: Final answer
    x = 3,782,091.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.