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Finding the Third Proportional to 455,682 and 997,180

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Solution

The third proportional to 455,682 and 997,180 is: 2,182,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,682 : 997,180 = 997,180 : x
  2. Step 2: Convert to fraction form
    455,682/997,180 = 997,180/x
  3. Step 3: Cross multiply
    455,682x = 997,180 × 997,180
  4. Step 4: Simplify right side
    455,682x = 994,367,952,400
  5. Step 5: Solve for x
    x = 994,367,952,400/455,682
  6. Step 6: Final answer
    x = 2,182,153.24

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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.