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Finding the Third Proportional to 421,776 and 995,616

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Solution

The third proportional to 421,776 and 995,616 is: 2,350,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,776 : 995,616 = 995,616 : x
  2. Step 2: Convert to fraction form
    421,776/995,616 = 995,616/x
  3. Step 3: Cross multiply
    421,776x = 995,616 × 995,616
  4. Step 4: Simplify right side
    421,776x = 991,251,219,456
  5. Step 5: Solve for x
    x = 991,251,219,456/421,776
  6. Step 6: Final answer
    x = 2,350,184.03

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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.