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Finding the Third Proportional to 455,249 and 997,229

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Solution

The third proportional to 455,249 and 997,229 is: 2,184,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,249 : 997,229 = 997,229 : x
  2. Step 2: Convert to fraction form
    455,249/997,229 = 997,229/x
  3. Step 3: Cross multiply
    455,249x = 997,229 × 997,229
  4. Step 4: Simplify right side
    455,249x = 994,465,678,441
  5. Step 5: Solve for x
    x = 994,465,678,441/455,249
  6. Step 6: Final answer
    x = 2,184,443.41

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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.