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Finding the Third Proportional to 1,286,811 and 2,541,326

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Solution

The third proportional to 1,286,811 and 2,541,326 is: 5,018,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,811 : 2,541,326 = 2,541,326 : x
  2. Step 2: Convert to fraction form
    1,286,811/2,541,326 = 2,541,326/x
  3. Step 3: Cross multiply
    1,286,811x = 2,541,326 × 2,541,326
  4. Step 4: Simplify right side
    1,286,811x = 6,458,337,838,276
  5. Step 5: Solve for x
    x = 6,458,337,838,276/1,286,811
  6. Step 6: Final answer
    x = 5,018,870.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.