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Finding the Third Proportional to 455,247 and 997,224.75

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Solution

The third proportional to 455,247 and 997,224.75 is: 2,184,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,247 : 997,224.75 = 997,224.75 : x
  2. Step 2: Convert to fraction form
    455,247/997,224.75 = 997,224.75/x
  3. Step 3: Cross multiply
    455,247x = 997,224.75 × 997,224.75
  4. Step 4: Simplify right side
    455,247x = 994,457,202,012.56
  5. Step 5: Solve for x
    x = 994,457,202,012.56/455,247
  6. Step 6: Final answer
    x = 2,184,434.39

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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.