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Finding the Third Proportional to 773,428.50 and 1,665,344.81

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Solution

The third proportional to 773,428.50 and 1,665,344.81 is: 3,585,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,428.50 : 1,665,344.81 = 1,665,344.81 : x
  2. Step 2: Convert to fraction form
    773,428.50/1,665,344.81 = 1,665,344.81/x
  3. Step 3: Cross multiply
    773,428.50x = 1,665,344.81 × 1,665,344.81
  4. Step 4: Simplify right side
    773,428.50x = 2,773,373,344,520.66
  5. Step 5: Solve for x
    x = 2,773,373,344,520.66/773,428.50
  6. Step 6: Final answer
    x = 3,585,817.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.