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Finding the Third Proportional to 863,278 and 1,354,231

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Solution

The third proportional to 863,278 and 1,354,231 is: 2,124,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,278 : 1,354,231 = 1,354,231 : x
  2. Step 2: Convert to fraction form
    863,278/1,354,231 = 1,354,231/x
  3. Step 3: Cross multiply
    863,278x = 1,354,231 × 1,354,231
  4. Step 4: Simplify right side
    863,278x = 1,833,941,601,361
  5. Step 5: Solve for x
    x = 1,833,941,601,361/863,278
  6. Step 6: Final answer
    x = 2,124,392.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.