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Finding the Third Proportional to 1,286,106 and 2,749,356

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Solution

The third proportional to 1,286,106 and 2,749,356 is: 5,877,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,106 : 2,749,356 = 2,749,356 : x
  2. Step 2: Convert to fraction form
    1,286,106/2,749,356 = 2,749,356/x
  3. Step 3: Cross multiply
    1,286,106x = 2,749,356 × 2,749,356
  4. Step 4: Simplify right side
    1,286,106x = 7,558,958,414,736
  5. Step 5: Solve for x
    x = 7,558,958,414,736/1,286,106
  6. Step 6: Final answer
    x = 5,877,399.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.