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Finding the Third Proportional to 599,875 and 919,857

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Solution

The third proportional to 599,875 and 919,857 is: 1,410,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,875 : 919,857 = 919,857 : x
  2. Step 2: Convert to fraction form
    599,875/919,857 = 919,857/x
  3. Step 3: Cross multiply
    599,875x = 919,857 × 919,857
  4. Step 4: Simplify right side
    599,875x = 846,136,900,449
  5. Step 5: Solve for x
    x = 846,136,900,449/599,875
  6. Step 6: Final answer
    x = 1,410,522.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.