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Finding the Third Proportional to 2,453,828 and 3,747,168

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Solution

The third proportional to 2,453,828 and 3,747,168 is: 5,722,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453,828 : 3,747,168 = 3,747,168 : x
  2. Step 2: Convert to fraction form
    2,453,828/3,747,168 = 3,747,168/x
  3. Step 3: Cross multiply
    2,453,828x = 3,747,168 × 3,747,168
  4. Step 4: Simplify right side
    2,453,828x = 14,041,268,020,224
  5. Step 5: Solve for x
    x = 14,041,268,020,224/2,453,828
  6. Step 6: Final answer
    x = 5,722,189.18

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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.