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Finding the Third Proportional to 929,600 and 1,309,016

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Solution

The third proportional to 929,600 and 1,309,016 is: 1,843,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,600 : 1,309,016 = 1,309,016 : x
  2. Step 2: Convert to fraction form
    929,600/1,309,016 = 1,309,016/x
  3. Step 3: Cross multiply
    929,600x = 1,309,016 × 1,309,016
  4. Step 4: Simplify right side
    929,600x = 1,713,522,888,256
  5. Step 5: Solve for x
    x = 1,713,522,888,256/929,600
  6. Step 6: Final answer
    x = 1,843,290.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.