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Finding the Third Proportional to 599,947 and 843,895

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Solution

The third proportional to 599,947 and 843,895 is: 1,187,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,947 : 843,895 = 843,895 : x
  2. Step 2: Convert to fraction form
    599,947/843,895 = 843,895/x
  3. Step 3: Cross multiply
    599,947x = 843,895 × 843,895
  4. Step 4: Simplify right side
    599,947x = 712,158,771,025
  5. Step 5: Solve for x
    x = 712,158,771,025/599,947
  6. Step 6: Final answer
    x = 1,187,036.14

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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.