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Finding the Third Proportional to 682,719 and 983,433

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Solution

The third proportional to 682,719 and 983,433 is: 1,416,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,719 : 983,433 = 983,433 : x
  2. Step 2: Convert to fraction form
    682,719/983,433 = 983,433/x
  3. Step 3: Cross multiply
    682,719x = 983,433 × 983,433
  4. Step 4: Simplify right side
    682,719x = 967,140,465,489
  5. Step 5: Solve for x
    x = 967,140,465,489/682,719
  6. Step 6: Final answer
    x = 1,416,601.07

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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.