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Finding the Third Proportional to 1,180,320 and 1,788,296

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Solution

The third proportional to 1,180,320 and 1,788,296 is: 2,709,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,320 : 1,788,296 = 1,788,296 : x
  2. Step 2: Convert to fraction form
    1,180,320/1,788,296 = 1,788,296/x
  3. Step 3: Cross multiply
    1,180,320x = 1,788,296 × 1,788,296
  4. Step 4: Simplify right side
    1,180,320x = 3,198,002,583,616
  5. Step 5: Solve for x
    x = 3,198,002,583,616/1,180,320
  6. Step 6: Final answer
    x = 2,709,436.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.