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Finding the Third Proportional to 1,205,589 and 1,641,807

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Solution

The third proportional to 1,205,589 and 1,641,807 is: 2,235,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,589 : 1,641,807 = 1,641,807 : x
  2. Step 2: Convert to fraction form
    1,205,589/1,641,807 = 1,641,807/x
  3. Step 3: Cross multiply
    1,205,589x = 1,641,807 × 1,641,807
  4. Step 4: Simplify right side
    1,205,589x = 2,695,530,225,249
  5. Step 5: Solve for x
    x = 2,695,530,225,249/1,205,589
  6. Step 6: Final answer
    x = 2,235,861.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.