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Finding the Third Proportional to 682,069 and 1,066,844

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Solution

The third proportional to 682,069 and 1,066,844 is: 1,668,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,069 : 1,066,844 = 1,066,844 : x
  2. Step 2: Convert to fraction form
    682,069/1,066,844 = 1,066,844/x
  3. Step 3: Cross multiply
    682,069x = 1,066,844 × 1,066,844
  4. Step 4: Simplify right side
    682,069x = 1,138,156,120,336
  5. Step 5: Solve for x
    x = 1,138,156,120,336/682,069
  6. Step 6: Final answer
    x = 1,668,681.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.