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Finding the Third Proportional to 996,939 and 1,462,096

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Solution

The third proportional to 996,939 and 1,462,096 is: 2,144,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,939 : 1,462,096 = 1,462,096 : x
  2. Step 2: Convert to fraction form
    996,939/1,462,096 = 1,462,096/x
  3. Step 3: Cross multiply
    996,939x = 1,462,096 × 1,462,096
  4. Step 4: Simplify right side
    996,939x = 2,137,724,713,216
  5. Step 5: Solve for x
    x = 2,137,724,713,216/996,939
  6. Step 6: Final answer
    x = 2,144,288.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.