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Finding the Third Proportional to 536,724 and 848,826

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Solution

The third proportional to 536,724 and 848,826 is: 1,342,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,724 : 848,826 = 848,826 : x
  2. Step 2: Convert to fraction form
    536,724/848,826 = 848,826/x
  3. Step 3: Cross multiply
    536,724x = 848,826 × 848,826
  4. Step 4: Simplify right side
    536,724x = 720,505,578,276
  5. Step 5: Solve for x
    x = 720,505,578,276/536,724
  6. Step 6: Final answer
    x = 1,342,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.