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Finding the Third Proportional to 694,380 and 1,048,944

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Solution

The third proportional to 694,380 and 1,048,944 is: 1,584,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,380 : 1,048,944 = 1,048,944 : x
  2. Step 2: Convert to fraction form
    694,380/1,048,944 = 1,048,944/x
  3. Step 3: Cross multiply
    694,380x = 1,048,944 × 1,048,944
  4. Step 4: Simplify right side
    694,380x = 1,100,283,515,136
  5. Step 5: Solve for x
    x = 1,100,283,515,136/694,380
  6. Step 6: Final answer
    x = 1,584,555.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.