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Finding the Third Proportional to 749,796.75 and 1,098,003.94

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Solution

The third proportional to 749,796.75 and 1,098,003.94 is: 1,607,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,796.75 : 1,098,003.94 = 1,098,003.94 : x
  2. Step 2: Convert to fraction form
    749,796.75/1,098,003.94 = 1,098,003.94/x
  3. Step 3: Cross multiply
    749,796.75x = 1,098,003.94 × 1,098,003.94
  4. Step 4: Simplify right side
    749,796.75x = 1,205,612,646,765.50
  5. Step 5: Solve for x
    x = 1,205,612,646,765.50/749,796.75
  6. Step 6: Final answer
    x = 1,607,919.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.