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Finding the Third Proportional to 597,926 and 873,867

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Solution

The third proportional to 597,926 and 873,867 is: 1,277,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,926 : 873,867 = 873,867 : x
  2. Step 2: Convert to fraction form
    597,926/873,867 = 873,867/x
  3. Step 3: Cross multiply
    597,926x = 873,867 × 873,867
  4. Step 4: Simplify right side
    597,926x = 763,643,533,689
  5. Step 5: Solve for x
    x = 763,643,533,689/597,926
  6. Step 6: Final answer
    x = 1,277,153.92

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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.