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Finding the Third Proportional to 457,830 and 994,470.75

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Solution

The third proportional to 457,830 and 994,470.75 is: 2,160,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830 : 994,470.75 = 994,470.75 : x
  2. Step 2: Convert to fraction form
    457,830/994,470.75 = 994,470.75/x
  3. Step 3: Cross multiply
    457,830x = 994,470.75 × 994,470.75
  4. Step 4: Simplify right side
    457,830x = 988,972,072,605.56
  5. Step 5: Solve for x
    x = 988,972,072,605.56/457,830
  6. Step 6: Final answer
    x = 2,160,129.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.