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Finding the Third Proportional to 682,086 and 1,070,028

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Solution

The third proportional to 682,086 and 1,070,028 is: 1,678,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,086 : 1,070,028 = 1,070,028 : x
  2. Step 2: Convert to fraction form
    682,086/1,070,028 = 1,070,028/x
  3. Step 3: Cross multiply
    682,086x = 1,070,028 × 1,070,028
  4. Step 4: Simplify right side
    682,086x = 1,144,959,920,784
  5. Step 5: Solve for x
    x = 1,144,959,920,784/682,086
  6. Step 6: Final answer
    x = 1,678,615.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.