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Finding the Third Proportional to 1,180,542 and 2,581,296

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Solution

The third proportional to 1,180,542 and 2,581,296 is: 5,644,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,542 : 2,581,296 = 2,581,296 : x
  2. Step 2: Convert to fraction form
    1,180,542/2,581,296 = 2,581,296/x
  3. Step 3: Cross multiply
    1,180,542x = 2,581,296 × 2,581,296
  4. Step 4: Simplify right side
    1,180,542x = 6,663,089,039,616
  5. Step 5: Solve for x
    x = 6,663,089,039,616/1,180,542
  6. Step 6: Final answer
    x = 5,644,093.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.