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Finding the Third Proportional to 597,874 and 873,819

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Solution

The third proportional to 597,874 and 873,819 is: 1,277,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,874 : 873,819 = 873,819 : x
  2. Step 2: Convert to fraction form
    597,874/873,819 = 873,819/x
  3. Step 3: Cross multiply
    597,874x = 873,819 × 873,819
  4. Step 4: Simplify right side
    597,874x = 763,559,644,761
  5. Step 5: Solve for x
    x = 763,559,644,761/597,874
  6. Step 6: Final answer
    x = 1,277,124.69

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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.