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Finding the Third Proportional to 1,798,475 and 3,763,234

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Solution

The third proportional to 1,798,475 and 3,763,234 is: 7,874,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,475 : 3,763,234 = 3,763,234 : x
  2. Step 2: Convert to fraction form
    1,798,475/3,763,234 = 3,763,234/x
  3. Step 3: Cross multiply
    1,798,475x = 3,763,234 × 3,763,234
  4. Step 4: Simplify right side
    1,798,475x = 14,161,930,138,756
  5. Step 5: Solve for x
    x = 14,161,930,138,756/1,798,475
  6. Step 6: Final answer
    x = 7,874,410.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.