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Finding the Third Proportional to 465,085 and 996,598

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Solution

The third proportional to 465,085 and 996,598 is: 2,135,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,085 : 996,598 = 996,598 : x
  2. Step 2: Convert to fraction form
    465,085/996,598 = 996,598/x
  3. Step 3: Cross multiply
    465,085x = 996,598 × 996,598
  4. Step 4: Simplify right side
    465,085x = 993,207,573,604
  5. Step 5: Solve for x
    x = 993,207,573,604/465,085
  6. Step 6: Final answer
    x = 2,135,539.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.