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Finding the Third Proportional to 2,711,823 and 3,970,695

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Solution

The third proportional to 2,711,823 and 3,970,695 is: 5,813,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,823 : 3,970,695 = 3,970,695 : x
  2. Step 2: Convert to fraction form
    2,711,823/3,970,695 = 3,970,695/x
  3. Step 3: Cross multiply
    2,711,823x = 3,970,695 × 3,970,695
  4. Step 4: Simplify right side
    2,711,823x = 15,766,418,783,025
  5. Step 5: Solve for x
    x = 15,766,418,783,025/2,711,823
  6. Step 6: Final answer
    x = 5,813,955.70

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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.