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Finding the Third Proportional to 457,976 and 992,186.50

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Solution

The third proportional to 457,976 and 992,186.50 is: 2,149,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,976 : 992,186.50 = 992,186.50 : x
  2. Step 2: Convert to fraction form
    457,976/992,186.50 = 992,186.50/x
  3. Step 3: Cross multiply
    457,976x = 992,186.50 × 992,186.50
  4. Step 4: Simplify right side
    457,976x = 984,434,050,782.25
  5. Step 5: Solve for x
    x = 984,434,050,782.25/457,976
  6. Step 6: Final answer
    x = 2,149,531.96

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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.