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Finding the Third Proportional to 1,159,686 and 1,633,095

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Solution

The third proportional to 1,159,686 and 1,633,095 is: 2,299,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,686 : 1,633,095 = 1,633,095 : x
  2. Step 2: Convert to fraction form
    1,159,686/1,633,095 = 1,633,095/x
  3. Step 3: Cross multiply
    1,159,686x = 1,633,095 × 1,633,095
  4. Step 4: Simplify right side
    1,159,686x = 2,666,999,279,025
  5. Step 5: Solve for x
    x = 2,666,999,279,025/1,159,686
  6. Step 6: Final answer
    x = 2,299,759.83

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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.