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Finding the Third Proportional to 455,196 and 997,467

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Solution

The third proportional to 455,196 and 997,467 is: 2,185,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,196 : 997,467 = 997,467 : x
  2. Step 2: Convert to fraction form
    455,196/997,467 = 997,467/x
  3. Step 3: Cross multiply
    455,196x = 997,467 × 997,467
  4. Step 4: Simplify right side
    455,196x = 994,940,416,089
  5. Step 5: Solve for x
    x = 994,940,416,089/455,196
  6. Step 6: Final answer
    x = 2,185,740.68

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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.