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Finding the Third Proportional to 546,326 and 857,027

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Solution

The third proportional to 546,326 and 857,027 is: 1,344,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,326 : 857,027 = 857,027 : x
  2. Step 2: Convert to fraction form
    546,326/857,027 = 857,027/x
  3. Step 3: Cross multiply
    546,326x = 857,027 × 857,027
  4. Step 4: Simplify right side
    546,326x = 734,495,278,729
  5. Step 5: Solve for x
    x = 734,495,278,729/546,326
  6. Step 6: Final answer
    x = 1,344,426.73

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Why These Related Problems?

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