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Finding the Third Proportional to 640,480 and 1,379,924

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Solution

The third proportional to 640,480 and 1,379,924 is: 2,973,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,480 : 1,379,924 = 1,379,924 : x
  2. Step 2: Convert to fraction form
    640,480/1,379,924 = 1,379,924/x
  3. Step 3: Cross multiply
    640,480x = 1,379,924 × 1,379,924
  4. Step 4: Simplify right side
    640,480x = 1,904,190,245,776
  5. Step 5: Solve for x
    x = 1,904,190,245,776/640,480
  6. Step 6: Final answer
    x = 2,973,067.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.