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Finding the Third Proportional to 2,453,823 and 3,747,164

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Solution

The third proportional to 2,453,823 and 3,747,164 is: 5,722,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453,823 : 3,747,164 = 3,747,164 : x
  2. Step 2: Convert to fraction form
    2,453,823/3,747,164 = 3,747,164/x
  3. Step 3: Cross multiply
    2,453,823x = 3,747,164 × 3,747,164
  4. Step 4: Simplify right side
    2,453,823x = 14,041,238,042,896
  5. Step 5: Solve for x
    x = 14,041,238,042,896/2,453,823
  6. Step 6: Final answer
    x = 5,722,188.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.