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Finding the Third Proportional to 856,149 and 1,844,749

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Solution

The third proportional to 856,149 and 1,844,749 is: 3,974,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,149 : 1,844,749 = 1,844,749 : x
  2. Step 2: Convert to fraction form
    856,149/1,844,749 = 1,844,749/x
  3. Step 3: Cross multiply
    856,149x = 1,844,749 × 1,844,749
  4. Step 4: Simplify right side
    856,149x = 3,403,098,873,001
  5. Step 5: Solve for x
    x = 3,403,098,873,001/856,149
  6. Step 6: Final answer
    x = 3,974,890.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.