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Finding the Third Proportional to 455,046 and 993,036

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Solution

The third proportional to 455,046 and 993,036 is: 2,167,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,046 : 993,036 = 993,036 : x
  2. Step 2: Convert to fraction form
    455,046/993,036 = 993,036/x
  3. Step 3: Cross multiply
    455,046x = 993,036 × 993,036
  4. Step 4: Simplify right side
    455,046x = 986,120,497,296
  5. Step 5: Solve for x
    x = 986,120,497,296/455,046
  6. Step 6: Final answer
    x = 2,167,078.71

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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.