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Finding the Third Proportional to 1,693,710 and 3,633,010

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Solution

The third proportional to 1,693,710 and 3,633,010 is: 7,792,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,710 : 3,633,010 = 3,633,010 : x
  2. Step 2: Convert to fraction form
    1,693,710/3,633,010 = 3,633,010/x
  3. Step 3: Cross multiply
    1,693,710x = 3,633,010 × 3,633,010
  4. Step 4: Simplify right side
    1,693,710x = 13,198,761,660,100
  5. Step 5: Solve for x
    x = 13,198,761,660,100/1,693,710
  6. Step 6: Final answer
    x = 7,792,810.85

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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.