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Finding the Third Proportional to 1,693,712 and 3,633,014

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Solution

The third proportional to 1,693,712 and 3,633,014 is: 7,792,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,712 : 3,633,014 = 3,633,014 : x
  2. Step 2: Convert to fraction form
    1,693,712/3,633,014 = 3,633,014/x
  3. Step 3: Cross multiply
    1,693,712x = 3,633,014 × 3,633,014
  4. Step 4: Simplify right side
    1,693,712x = 13,198,790,724,196
  5. Step 5: Solve for x
    x = 13,198,790,724,196/1,693,712
  6. Step 6: Final answer
    x = 7,792,818.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.