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Finding the Third Proportional to 1,327,269.80 and 1,467,511.17

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Solution

The third proportional to 1,327,269.80 and 1,467,511.17 is: 1,622,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,269.80 : 1,467,511.17 = 1,467,511.17 : x
  2. Step 2: Convert to fraction form
    1,327,269.80/1,467,511.17 = 1,467,511.17/x
  3. Step 3: Cross multiply
    1,327,269.80x = 1,467,511.17 × 1,467,511.17
  4. Step 4: Simplify right side
    1,327,269.80x = 2,153,589,039,577.94
  5. Step 5: Solve for x
    x = 2,153,589,039,577.94/1,327,269.80
  6. Step 6: Final answer
    x = 1,622,570.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.