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Finding the Third Proportional to 905,100 and 1,787,364

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Solution

The third proportional to 905,100 and 1,787,364 is: 3,529,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,100 : 1,787,364 = 1,787,364 : x
  2. Step 2: Convert to fraction form
    905,100/1,787,364 = 1,787,364/x
  3. Step 3: Cross multiply
    905,100x = 1,787,364 × 1,787,364
  4. Step 4: Simplify right side
    905,100x = 3,194,670,068,496
  5. Step 5: Solve for x
    x = 3,194,670,068,496/905,100
  6. Step 6: Final answer
    x = 3,529,632.16

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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.