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Finding the Third Proportional to 905,106 and 1,787,356

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Solution

The third proportional to 905,106 and 1,787,356 is: 3,529,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,106 : 1,787,356 = 1,787,356 : x
  2. Step 2: Convert to fraction form
    905,106/1,787,356 = 1,787,356/x
  3. Step 3: Cross multiply
    905,106x = 1,787,356 × 1,787,356
  4. Step 4: Simplify right side
    905,106x = 3,194,641,470,736
  5. Step 5: Solve for x
    x = 3,194,641,470,736/905,106
  6. Step 6: Final answer
    x = 3,529,577.17

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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.