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Finding the Third Proportional to 856,609 and 1,842,404

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Solution

The third proportional to 856,609 and 1,842,404 is: 3,962,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,609 : 1,842,404 = 1,842,404 : x
  2. Step 2: Convert to fraction form
    856,609/1,842,404 = 1,842,404/x
  3. Step 3: Cross multiply
    856,609x = 1,842,404 × 1,842,404
  4. Step 4: Simplify right side
    856,609x = 3,394,452,499,216
  5. Step 5: Solve for x
    x = 3,394,452,499,216/856,609
  6. Step 6: Final answer
    x = 3,962,662.66

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