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Finding the Third Proportional to 397,791 and 858,594.94

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Solution

The third proportional to 397,791 and 858,594.94 is: 1,853,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,791 : 858,594.94 = 858,594.94 : x
  2. Step 2: Convert to fraction form
    397,791/858,594.94 = 858,594.94/x
  3. Step 3: Cross multiply
    397,791x = 858,594.94 × 858,594.94
  4. Step 4: Simplify right side
    397,791x = 737,185,266,700.63
  5. Step 5: Solve for x
    x = 737,185,266,700.63/397,791
  6. Step 6: Final answer
    x = 1,853,197.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.