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Finding the Third Proportional to 384,993 and 858,422.81

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Solution

The third proportional to 384,993 and 858,422.81 is: 1,914,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,993 : 858,422.81 = 858,422.81 : x
  2. Step 2: Convert to fraction form
    384,993/858,422.81 = 858,422.81/x
  3. Step 3: Cross multiply
    384,993x = 858,422.81 × 858,422.81
  4. Step 4: Simplify right side
    384,993x = 736,889,725,020.41
  5. Step 5: Solve for x
    x = 736,889,725,020.41/384,993
  6. Step 6: Final answer
    x = 1,914,034.09

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.