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Finding the Third Proportional to 856,340 and 1,865,243

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Solution

The third proportional to 856,340 and 1,865,243 is: 4,062,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,340 : 1,865,243 = 1,865,243 : x
  2. Step 2: Convert to fraction form
    856,340/1,865,243 = 1,865,243/x
  3. Step 3: Cross multiply
    856,340x = 1,865,243 × 1,865,243
  4. Step 4: Simplify right side
    856,340x = 3,479,131,449,049
  5. Step 5: Solve for x
    x = 3,479,131,449,049/856,340
  6. Step 6: Final answer
    x = 4,062,792.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.