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Finding the Third Proportional to 640,485 and 1,379,934

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Solution

The third proportional to 640,485 and 1,379,934 is: 2,973,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,485 : 1,379,934 = 1,379,934 : x
  2. Step 2: Convert to fraction form
    640,485/1,379,934 = 1,379,934/x
  3. Step 3: Cross multiply
    640,485x = 1,379,934 × 1,379,934
  4. Step 4: Simplify right side
    640,485x = 1,904,217,844,356
  5. Step 5: Solve for x
    x = 1,904,217,844,356/640,485
  6. Step 6: Final answer
    x = 2,973,087.34

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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.