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Finding the Third Proportional to 904,270 and 1,397,977

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Solution

The third proportional to 904,270 and 1,397,977 is: 2,161,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,270 : 1,397,977 = 1,397,977 : x
  2. Step 2: Convert to fraction form
    904,270/1,397,977 = 1,397,977/x
  3. Step 3: Cross multiply
    904,270x = 1,397,977 × 1,397,977
  4. Step 4: Simplify right side
    904,270x = 1,954,339,692,529
  5. Step 5: Solve for x
    x = 1,954,339,692,529/904,270
  6. Step 6: Final answer
    x = 2,161,234.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.