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Finding the Third Proportional to 783,218 and 1,694,740

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Solution

The third proportional to 783,218 and 1,694,740 is: 3,667,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,218 : 1,694,740 = 1,694,740 : x
  2. Step 2: Convert to fraction form
    783,218/1,694,740 = 1,694,740/x
  3. Step 3: Cross multiply
    783,218x = 1,694,740 × 1,694,740
  4. Step 4: Simplify right side
    783,218x = 2,872,143,667,600
  5. Step 5: Solve for x
    x = 2,872,143,667,600/783,218
  6. Step 6: Final answer
    x = 3,667,106.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.