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Finding the Third Proportional to 820,714 and 1,260,717

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Solution

The third proportional to 820,714 and 1,260,717 is: 1,936,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,714 : 1,260,717 = 1,260,717 : x
  2. Step 2: Convert to fraction form
    820,714/1,260,717 = 1,260,717/x
  3. Step 3: Cross multiply
    820,714x = 1,260,717 × 1,260,717
  4. Step 4: Simplify right side
    820,714x = 1,589,407,354,089
  5. Step 5: Solve for x
    x = 1,589,407,354,089/820,714
  6. Step 6: Final answer
    x = 1,936,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.