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Finding the Third Proportional to 694,170 and 1,048,651.50

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Solution

The third proportional to 694,170 and 1,048,651.50 is: 1,584,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,170 : 1,048,651.50 = 1,048,651.50 : x
  2. Step 2: Convert to fraction form
    694,170/1,048,651.50 = 1,048,651.50/x
  3. Step 3: Cross multiply
    694,170x = 1,048,651.50 × 1,048,651.50
  4. Step 4: Simplify right side
    694,170x = 1,099,669,968,452.25
  5. Step 5: Solve for x
    x = 1,099,669,968,452.25/694,170
  6. Step 6: Final answer
    x = 1,584,150.81

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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.