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Finding the Third Proportional to 857,881.13 and 1,786,816.97

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Solution

The third proportional to 857,881.13 and 1,786,816.97 is: 3,721,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,881.13 : 1,786,816.97 = 1,786,816.97 : x
  2. Step 2: Convert to fraction form
    857,881.13/1,786,816.97 = 1,786,816.97/x
  3. Step 3: Cross multiply
    857,881.13x = 1,786,816.97 × 1,786,816.97
  4. Step 4: Simplify right side
    857,881.13x = 3,192,714,879,812.94
  5. Step 5: Solve for x
    x = 3,192,714,879,812.94/857,881.13
  6. Step 6: Final answer
    x = 3,721,628.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.