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Finding the Third Proportional to 457,908 and 994,632

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Solution

The third proportional to 457,908 and 994,632 is: 2,160,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,908 : 994,632 = 994,632 : x
  2. Step 2: Convert to fraction form
    457,908/994,632 = 994,632/x
  3. Step 3: Cross multiply
    457,908x = 994,632 × 994,632
  4. Step 4: Simplify right side
    457,908x = 989,292,815,424
  5. Step 5: Solve for x
    x = 989,292,815,424/457,908
  6. Step 6: Final answer
    x = 2,160,461.96

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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.