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Finding the Third Proportional to 588,837 and 933,939

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Solution

The third proportional to 588,837 and 933,939 is: 1,481,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,837 : 933,939 = 933,939 : x
  2. Step 2: Convert to fraction form
    588,837/933,939 = 933,939/x
  3. Step 3: Cross multiply
    588,837x = 933,939 × 933,939
  4. Step 4: Simplify right side
    588,837x = 872,242,055,721
  5. Step 5: Solve for x
    x = 872,242,055,721/588,837
  6. Step 6: Final answer
    x = 1,481,296.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.