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Finding the Third Proportional to 724,608 and 969,826

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Solution

The third proportional to 724,608 and 969,826 is: 1,298,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,608 : 969,826 = 969,826 : x
  2. Step 2: Convert to fraction form
    724,608/969,826 = 969,826/x
  3. Step 3: Cross multiply
    724,608x = 969,826 × 969,826
  4. Step 4: Simplify right side
    724,608x = 940,562,470,276
  5. Step 5: Solve for x
    x = 940,562,470,276/724,608
  6. Step 6: Final answer
    x = 1,298,029.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.