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Finding the Third Proportional to 996,897 and 2,186,795

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Solution

The third proportional to 996,897 and 2,186,795 is: 4,796,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,897 : 2,186,795 = 2,186,795 : x
  2. Step 2: Convert to fraction form
    996,897/2,186,795 = 2,186,795/x
  3. Step 3: Cross multiply
    996,897x = 2,186,795 × 2,186,795
  4. Step 4: Simplify right side
    996,897x = 4,782,072,372,025
  5. Step 5: Solve for x
    x = 4,782,072,372,025/996,897
  6. Step 6: Final answer
    x = 4,796,957.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.