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Finding the Third Proportional to 392,949 and 857,853

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Solution

The third proportional to 392,949 and 857,853 is: 1,872,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,949 : 857,853 = 857,853 : x
  2. Step 2: Convert to fraction form
    392,949/857,853 = 857,853/x
  3. Step 3: Cross multiply
    392,949x = 857,853 × 857,853
  4. Step 4: Simplify right side
    392,949x = 735,911,769,609
  5. Step 5: Solve for x
    x = 735,911,769,609/392,949
  6. Step 6: Final answer
    x = 1,872,792.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.