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Finding the Third Proportional to 618,372 and 1,431,642

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Solution

The third proportional to 618,372 and 1,431,642 is: 3,314,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,372 : 1,431,642 = 1,431,642 : x
  2. Step 2: Convert to fraction form
    618,372/1,431,642 = 1,431,642/x
  3. Step 3: Cross multiply
    618,372x = 1,431,642 × 1,431,642
  4. Step 4: Simplify right side
    618,372x = 2,049,598,816,164
  5. Step 5: Solve for x
    x = 2,049,598,816,164/618,372
  6. Step 6: Final answer
    x = 3,314,507.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.