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Finding the Third Proportional to 421,805 and 995,688

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Solution

The third proportional to 421,805 and 995,688 is: 2,350,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,805 : 995,688 = 995,688 : x
  2. Step 2: Convert to fraction form
    421,805/995,688 = 995,688/x
  3. Step 3: Cross multiply
    421,805x = 995,688 × 995,688
  4. Step 4: Simplify right side
    421,805x = 991,394,593,344
  5. Step 5: Solve for x
    x = 991,394,593,344/421,805
  6. Step 6: Final answer
    x = 2,350,362.36

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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.