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Finding the Third Proportional to 605,759.63 and 1,321,536.38

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Solution

The third proportional to 605,759.63 and 1,321,536.38 is: 2,883,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,759.63 : 1,321,536.38 = 1,321,536.38 : x
  2. Step 2: Convert to fraction form
    605,759.63/1,321,536.38 = 1,321,536.38/x
  3. Step 3: Cross multiply
    605,759.63x = 1,321,536.38 × 1,321,536.38
  4. Step 4: Simplify right side
    605,759.63x = 1,746,458,390,448.14
  5. Step 5: Solve for x
    x = 1,746,458,390,448.14/605,759.63
  6. Step 6: Final answer
    x = 2,883,088.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.