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Finding the Third Proportional to 457,902 and 997,157

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Solution

The third proportional to 457,902 and 997,157 is: 2,171,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,902 : 997,157 = 997,157 : x
  2. Step 2: Convert to fraction form
    457,902/997,157 = 997,157/x
  3. Step 3: Cross multiply
    457,902x = 997,157 × 997,157
  4. Step 4: Simplify right side
    457,902x = 994,322,082,649
  5. Step 5: Solve for x
    x = 994,322,082,649/457,902
  6. Step 6: Final answer
    x = 2,171,473.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.