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Finding the Third Proportional to 597,939 and 873,885

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Solution

The third proportional to 597,939 and 873,885 is: 1,277,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,939 : 873,885 = 873,885 : x
  2. Step 2: Convert to fraction form
    597,939/873,885 = 873,885/x
  3. Step 3: Cross multiply
    597,939x = 873,885 × 873,885
  4. Step 4: Simplify right side
    597,939x = 763,674,993,225
  5. Step 5: Solve for x
    x = 763,674,993,225/597,939
  6. Step 6: Final answer
    x = 1,277,178.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.