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Finding the Third Proportional to 599,930 and 843,878

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Solution

The third proportional to 599,930 and 843,878 is: 1,187,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,930 : 843,878 = 843,878 : x
  2. Step 2: Convert to fraction form
    599,930/843,878 = 843,878/x
  3. Step 3: Cross multiply
    599,930x = 843,878 × 843,878
  4. Step 4: Simplify right side
    599,930x = 712,130,078,884
  5. Step 5: Solve for x
    x = 712,130,078,884/599,930
  6. Step 6: Final answer
    x = 1,187,021.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.