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Finding the Third Proportional to 920,504 and 1,904,920

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Solution

The third proportional to 920,504 and 1,904,920 is: 3,942,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,504 : 1,904,920 = 1,904,920 : x
  2. Step 2: Convert to fraction form
    920,504/1,904,920 = 1,904,920/x
  3. Step 3: Cross multiply
    920,504x = 1,904,920 × 1,904,920
  4. Step 4: Simplify right side
    920,504x = 3,628,720,206,400
  5. Step 5: Solve for x
    x = 3,628,720,206,400/920,504
  6. Step 6: Final answer
    x = 3,942,101.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.