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Finding the Third Proportional to 682,738 and 983,458

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Solution

The third proportional to 682,738 and 983,458 is: 1,416,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,738 : 983,458 = 983,458 : x
  2. Step 2: Convert to fraction form
    682,738/983,458 = 983,458/x
  3. Step 3: Cross multiply
    682,738x = 983,458 × 983,458
  4. Step 4: Simplify right side
    682,738x = 967,189,637,764
  5. Step 5: Solve for x
    x = 967,189,637,764/682,738
  6. Step 6: Final answer
    x = 1,416,633.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.