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Finding the Third Proportional to 455,625 and 997,029

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Solution

The third proportional to 455,625 and 997,029 is: 2,181,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,625 : 997,029 = 997,029 : x
  2. Step 2: Convert to fraction form
    455,625/997,029 = 997,029/x
  3. Step 3: Cross multiply
    455,625x = 997,029 × 997,029
  4. Step 4: Simplify right side
    455,625x = 994,066,826,841
  5. Step 5: Solve for x
    x = 994,066,826,841/455,625
  6. Step 6: Final answer
    x = 2,181,765.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.