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Finding the Third Proportional to 455,763 and 993,533

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Solution

The third proportional to 455,763 and 993,533 is: 2,165,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,763 : 993,533 = 993,533 : x
  2. Step 2: Convert to fraction form
    455,763/993,533 = 993,533/x
  3. Step 3: Cross multiply
    455,763x = 993,533 × 993,533
  4. Step 4: Simplify right side
    455,763x = 987,107,822,089
  5. Step 5: Solve for x
    x = 987,107,822,089/455,763
  6. Step 6: Final answer
    x = 2,165,835.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.