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Finding the Third Proportional to 769,301.93 and 1,674,063.07

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Solution

The third proportional to 769,301.93 and 1,674,063.07 is: 3,642,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,301.93 : 1,674,063.07 = 1,674,063.07 : x
  2. Step 2: Convert to fraction form
    769,301.93/1,674,063.07 = 1,674,063.07/x
  3. Step 3: Cross multiply
    769,301.93x = 1,674,063.07 × 1,674,063.07
  4. Step 4: Simplify right side
    769,301.93x = 2,802,487,163,384.11
  5. Step 5: Solve for x
    x = 2,802,487,163,384.11/769,301.93
  6. Step 6: Final answer
    x = 3,642,896.31

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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.