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Finding the Third Proportional to 421,590 and 995,187

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Solution

The third proportional to 421,590 and 995,187 is: 2,349,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,590 : 995,187 = 995,187 : x
  2. Step 2: Convert to fraction form
    421,590/995,187 = 995,187/x
  3. Step 3: Cross multiply
    421,590x = 995,187 × 995,187
  4. Step 4: Simplify right side
    421,590x = 990,397,164,969
  5. Step 5: Solve for x
    x = 990,397,164,969/421,590
  6. Step 6: Final answer
    x = 2,349,195.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.