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Finding the Third Proportional to 2,082,375 and 4,222,710

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Solution

The third proportional to 2,082,375 and 4,222,710 is: 8,562,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,375 : 4,222,710 = 4,222,710 : x
  2. Step 2: Convert to fraction form
    2,082,375/4,222,710 = 4,222,710/x
  3. Step 3: Cross multiply
    2,082,375x = 4,222,710 × 4,222,710
  4. Step 4: Simplify right side
    2,082,375x = 17,831,279,744,100
  5. Step 5: Solve for x
    x = 17,831,279,744,100/2,082,375
  6. Step 6: Final answer
    x = 8,562,953.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.