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Finding the Third Proportional to 751,122 and 1,023,003

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Solution

The third proportional to 751,122 and 1,023,003 is: 1,393,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,122 : 1,023,003 = 1,023,003 : x
  2. Step 2: Convert to fraction form
    751,122/1,023,003 = 1,023,003/x
  3. Step 3: Cross multiply
    751,122x = 1,023,003 × 1,023,003
  4. Step 4: Simplify right side
    751,122x = 1,046,535,138,009
  5. Step 5: Solve for x
    x = 1,046,535,138,009/751,122
  6. Step 6: Final answer
    x = 1,393,295.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.