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Finding the Third Proportional to 642,714 and 1,314,912

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Solution

The third proportional to 642,714 and 1,314,912 is: 2,690,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,714 : 1,314,912 = 1,314,912 : x
  2. Step 2: Convert to fraction form
    642,714/1,314,912 = 1,314,912/x
  3. Step 3: Cross multiply
    642,714x = 1,314,912 × 1,314,912
  4. Step 4: Simplify right side
    642,714x = 1,728,993,567,744
  5. Step 5: Solve for x
    x = 1,728,993,567,744/642,714
  6. Step 6: Final answer
    x = 2,690,144.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.