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Finding the Third Proportional to 640,858 and 1,383,042

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Solution

The third proportional to 640,858 and 1,383,042 is: 2,984,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,858 : 1,383,042 = 1,383,042 : x
  2. Step 2: Convert to fraction form
    640,858/1,383,042 = 1,383,042/x
  3. Step 3: Cross multiply
    640,858x = 1,383,042 × 1,383,042
  4. Step 4: Simplify right side
    640,858x = 1,912,805,173,764
  5. Step 5: Solve for x
    x = 1,912,805,173,764/640,858
  6. Step 6: Final answer
    x = 2,984,756.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.