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Finding the Third Proportional to 682,816 and 983,552

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Solution

The third proportional to 682,816 and 983,552 is: 1,416,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,816 : 983,552 = 983,552 : x
  2. Step 2: Convert to fraction form
    682,816/983,552 = 983,552/x
  3. Step 3: Cross multiply
    682,816x = 983,552 × 983,552
  4. Step 4: Simplify right side
    682,816x = 967,374,536,704
  5. Step 5: Solve for x
    x = 967,374,536,704/682,816
  6. Step 6: Final answer
    x = 1,416,742.63

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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.