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Finding the Third Proportional to 597,961 and 919,085

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Solution

The third proportional to 597,961 and 919,085 is: 1,412,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,961 : 919,085 = 919,085 : x
  2. Step 2: Convert to fraction form
    597,961/919,085 = 919,085/x
  3. Step 3: Cross multiply
    597,961x = 919,085 × 919,085
  4. Step 4: Simplify right side
    597,961x = 844,717,237,225
  5. Step 5: Solve for x
    x = 844,717,237,225/597,961
  6. Step 6: Final answer
    x = 1,412,662.76

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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.