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Finding the Third Proportional to 1,682,712 and 3,649,356

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Solution

The third proportional to 1,682,712 and 3,649,356 is: 7,914,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,712 : 3,649,356 = 3,649,356 : x
  2. Step 2: Convert to fraction form
    1,682,712/3,649,356 = 3,649,356/x
  3. Step 3: Cross multiply
    1,682,712x = 3,649,356 × 3,649,356
  4. Step 4: Simplify right side
    1,682,712x = 13,317,799,214,736
  5. Step 5: Solve for x
    x = 13,317,799,214,736/1,682,712
  6. Step 6: Final answer
    x = 7,914,485.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.