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Finding the Third Proportional to 3,909,896 and 5,724,876

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Solution

The third proportional to 3,909,896 and 5,724,876 is: 8,382,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,896 : 5,724,876 = 5,724,876 : x
  2. Step 2: Convert to fraction form
    3,909,896/5,724,876 = 5,724,876/x
  3. Step 3: Cross multiply
    3,909,896x = 5,724,876 × 5,724,876
  4. Step 4: Simplify right side
    3,909,896x = 32,774,205,215,376
  5. Step 5: Solve for x
    x = 32,774,205,215,376/3,909,896
  6. Step 6: Final answer
    x = 8,382,372.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.