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Finding the Third Proportional to 1,230,950 and 1,977,782

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Solution

The third proportional to 1,230,950 and 1,977,782 is: 3,177,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,950 : 1,977,782 = 1,977,782 : x
  2. Step 2: Convert to fraction form
    1,230,950/1,977,782 = 1,977,782/x
  3. Step 3: Cross multiply
    1,230,950x = 1,977,782 × 1,977,782
  4. Step 4: Simplify right side
    1,230,950x = 3,911,621,639,524
  5. Step 5: Solve for x
    x = 3,911,621,639,524/1,230,950
  6. Step 6: Final answer
    x = 3,177,725.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.