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Finding the Third Proportional to 457,893 and 994,608

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Solution

The third proportional to 457,893 and 994,608 is: 2,160,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,893 : 994,608 = 994,608 : x
  2. Step 2: Convert to fraction form
    457,893/994,608 = 994,608/x
  3. Step 3: Cross multiply
    457,893x = 994,608 × 994,608
  4. Step 4: Simplify right side
    457,893x = 989,245,073,664
  5. Step 5: Solve for x
    x = 989,245,073,664/457,893
  6. Step 6: Final answer
    x = 2,160,428.47

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Why These Related Problems?

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