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Finding the Third Proportional to 455,899.50 and 989,073

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Solution

The third proportional to 455,899.50 and 989,073 is: 2,145,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,899.50 : 989,073 = 989,073 : x
  2. Step 2: Convert to fraction form
    455,899.50/989,073 = 989,073/x
  3. Step 3: Cross multiply
    455,899.50x = 989,073 × 989,073
  4. Step 4: Simplify right side
    455,899.50x = 978,265,399,329
  5. Step 5: Solve for x
    x = 978,265,399,329/455,899.50
  6. Step 6: Final answer
    x = 2,145,791.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.