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Finding the Third Proportional to 1,380,744 and 2,857,356

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Solution

The third proportional to 1,380,744 and 2,857,356 is: 5,913,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,744 : 2,857,356 = 2,857,356 : x
  2. Step 2: Convert to fraction form
    1,380,744/2,857,356 = 2,857,356/x
  3. Step 3: Cross multiply
    1,380,744x = 2,857,356 × 2,857,356
  4. Step 4: Simplify right side
    1,380,744x = 8,164,483,310,736
  5. Step 5: Solve for x
    x = 8,164,483,310,736/1,380,744
  6. Step 6: Final answer
    x = 5,913,104.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.