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Finding the Third Proportional to 455,698 and 997,216

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Solution

The third proportional to 455,698 and 997,216 is: 2,182,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,698 : 997,216 = 997,216 : x
  2. Step 2: Convert to fraction form
    455,698/997,216 = 997,216/x
  3. Step 3: Cross multiply
    455,698x = 997,216 × 997,216
  4. Step 4: Simplify right side
    455,698x = 994,439,750,656
  5. Step 5: Solve for x
    x = 994,439,750,656/455,698
  6. Step 6: Final answer
    x = 2,182,234.18

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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.