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Finding the Third Proportional to 682,808 and 1,033,644

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Solution

The third proportional to 682,808 and 1,033,644 is: 1,564,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,808 : 1,033,644 = 1,033,644 : x
  2. Step 2: Convert to fraction form
    682,808/1,033,644 = 1,033,644/x
  3. Step 3: Cross multiply
    682,808x = 1,033,644 × 1,033,644
  4. Step 4: Simplify right side
    682,808x = 1,068,419,918,736
  5. Step 5: Solve for x
    x = 1,068,419,918,736/682,808
  6. Step 6: Final answer
    x = 1,564,744.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.