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Finding the Third Proportional to 843,296 and 1,826,560

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Solution

The third proportional to 843,296 and 1,826,560 is: 3,956,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,296 : 1,826,560 = 1,826,560 : x
  2. Step 2: Convert to fraction form
    843,296/1,826,560 = 1,826,560/x
  3. Step 3: Cross multiply
    843,296x = 1,826,560 × 1,826,560
  4. Step 4: Simplify right side
    843,296x = 3,336,321,433,600
  5. Step 5: Solve for x
    x = 3,336,321,433,600/843,296
  6. Step 6: Final answer
    x = 3,956,287.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.