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Finding the Third Proportional to 769,320 and 1,656,954

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Solution

The third proportional to 769,320 and 1,656,954 is: 3,568,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,320 : 1,656,954 = 1,656,954 : x
  2. Step 2: Convert to fraction form
    769,320/1,656,954 = 1,656,954/x
  3. Step 3: Cross multiply
    769,320x = 1,656,954 × 1,656,954
  4. Step 4: Simplify right side
    769,320x = 2,745,496,558,116
  5. Step 5: Solve for x
    x = 2,745,496,558,116/769,320
  6. Step 6: Final answer
    x = 3,568,731.55

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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.