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Finding the Third Proportional to 1,926,896 and 2,711,096

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Solution

The third proportional to 1,926,896 and 2,711,096 is: 3,814,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,896 : 2,711,096 = 2,711,096 : x
  2. Step 2: Convert to fraction form
    1,926,896/2,711,096 = 2,711,096/x
  3. Step 3: Cross multiply
    1,926,896x = 2,711,096 × 2,711,096
  4. Step 4: Simplify right side
    1,926,896x = 7,350,041,521,216
  5. Step 5: Solve for x
    x = 7,350,041,521,216/1,926,896
  6. Step 6: Final answer
    x = 3,814,446.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.