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Finding the Third Proportional to 455,054 and 993,052

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Solution

The third proportional to 455,054 and 993,052 is: 2,167,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,054 : 993,052 = 993,052 : x
  2. Step 2: Convert to fraction form
    455,054/993,052 = 993,052/x
  3. Step 3: Cross multiply
    455,054x = 993,052 × 993,052
  4. Step 4: Simplify right side
    455,054x = 986,152,274,704
  5. Step 5: Solve for x
    x = 986,152,274,704/455,054
  6. Step 6: Final answer
    x = 2,167,110.44

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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.