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Finding the Third Proportional to 769,302 and 1,674,059.63

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Solution

The third proportional to 769,302 and 1,674,059.63 is: 3,642,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,302 : 1,674,059.63 = 1,674,059.63 : x
  2. Step 2: Convert to fraction form
    769,302/1,674,059.63 = 1,674,059.63/x
  3. Step 3: Cross multiply
    769,302x = 1,674,059.63 × 1,674,059.63
  4. Step 4: Simplify right side
    769,302x = 2,802,475,628,055.14
  5. Step 5: Solve for x
    x = 2,802,475,628,055.14/769,302
  6. Step 6: Final answer
    x = 3,642,880.99

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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.