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Finding the Third Proportional to 682,722 and 983,418

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Solution

The third proportional to 682,722 and 983,418 is: 1,416,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,722 : 983,418 = 983,418 : x
  2. Step 2: Convert to fraction form
    682,722/983,418 = 983,418/x
  3. Step 3: Cross multiply
    682,722x = 983,418 × 983,418
  4. Step 4: Simplify right side
    682,722x = 967,110,962,724
  5. Step 5: Solve for x
    x = 967,110,962,724/682,722
  6. Step 6: Final answer
    x = 1,416,551.63

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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.