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Finding the Third Proportional to 721,108 and 1,120,997

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Solution

The third proportional to 721,108 and 1,120,997 is: 1,742,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,108 : 1,120,997 = 1,120,997 : x
  2. Step 2: Convert to fraction form
    721,108/1,120,997 = 1,120,997/x
  3. Step 3: Cross multiply
    721,108x = 1,120,997 × 1,120,997
  4. Step 4: Simplify right side
    721,108x = 1,256,634,274,009
  5. Step 5: Solve for x
    x = 1,256,634,274,009/721,108
  6. Step 6: Final answer
    x = 1,742,643.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.