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Finding the Third Proportional to 457,836.75 and 991,944

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Solution

The third proportional to 457,836.75 and 991,944 is: 2,149,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,836.75 : 991,944 = 991,944 : x
  2. Step 2: Convert to fraction form
    457,836.75/991,944 = 991,944/x
  3. Step 3: Cross multiply
    457,836.75x = 991,944 × 991,944
  4. Step 4: Simplify right side
    457,836.75x = 983,952,899,136
  5. Step 5: Solve for x
    x = 983,952,899,136/457,836.75
  6. Step 6: Final answer
    x = 2,149,134.82

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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.