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Finding the Third Proportional to 777,355 and 1,682,041

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Solution

The third proportional to 777,355 and 1,682,041 is: 3,639,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,355 : 1,682,041 = 1,682,041 : x
  2. Step 2: Convert to fraction form
    777,355/1,682,041 = 1,682,041/x
  3. Step 3: Cross multiply
    777,355x = 1,682,041 × 1,682,041
  4. Step 4: Simplify right side
    777,355x = 2,829,261,925,681
  5. Step 5: Solve for x
    x = 2,829,261,925,681/777,355
  6. Step 6: Final answer
    x = 3,639,600.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.