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Finding the Third Proportional to 460,170 and 993,843

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Solution

The third proportional to 460,170 and 993,843 is: 2,146,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,170 : 993,843 = 993,843 : x
  2. Step 2: Convert to fraction form
    460,170/993,843 = 993,843/x
  3. Step 3: Cross multiply
    460,170x = 993,843 × 993,843
  4. Step 4: Simplify right side
    460,170x = 987,723,908,649
  5. Step 5: Solve for x
    x = 987,723,908,649/460,170
  6. Step 6: Final answer
    x = 2,146,432.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.