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Finding the Third Proportional to 455,697 and 997,172

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Solution

The third proportional to 455,697 and 997,172 is: 2,182,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,697 : 997,172 = 997,172 : x
  2. Step 2: Convert to fraction form
    455,697/997,172 = 997,172/x
  3. Step 3: Cross multiply
    455,697x = 997,172 × 997,172
  4. Step 4: Simplify right side
    455,697x = 994,351,997,584
  5. Step 5: Solve for x
    x = 994,351,997,584/455,697
  6. Step 6: Final answer
    x = 2,182,046.40

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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.