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Finding the Third Proportional to 856,342 and 1,204,853

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Solution

The third proportional to 856,342 and 1,204,853 is: 1,695,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,342 : 1,204,853 = 1,204,853 : x
  2. Step 2: Convert to fraction form
    856,342/1,204,853 = 1,204,853/x
  3. Step 3: Cross multiply
    856,342x = 1,204,853 × 1,204,853
  4. Step 4: Simplify right side
    856,342x = 1,451,670,751,609
  5. Step 5: Solve for x
    x = 1,451,670,751,609/856,342
  6. Step 6: Final answer
    x = 1,695,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.