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Finding the Third Proportional to 905,011 and 1,787,180

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Solution

The third proportional to 905,011 and 1,787,180 is: 3,529,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,011 : 1,787,180 = 1,787,180 : x
  2. Step 2: Convert to fraction form
    905,011/1,787,180 = 1,787,180/x
  3. Step 3: Cross multiply
    905,011x = 1,787,180 × 1,787,180
  4. Step 4: Simplify right side
    905,011x = 3,194,012,352,400
  5. Step 5: Solve for x
    x = 3,194,012,352,400/905,011
  6. Step 6: Final answer
    x = 3,529,252.52

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.