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Finding the Third Proportional to 788,364 and 1,694,826

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Solution

The third proportional to 788,364 and 1,694,826 is: 3,643,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,364 : 1,694,826 = 1,694,826 : x
  2. Step 2: Convert to fraction form
    788,364/1,694,826 = 1,694,826/x
  3. Step 3: Cross multiply
    788,364x = 1,694,826 × 1,694,826
  4. Step 4: Simplify right side
    788,364x = 2,872,435,170,276
  5. Step 5: Solve for x
    x = 2,872,435,170,276/788,364
  6. Step 6: Final answer
    x = 3,643,539.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.