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Finding the Third Proportional to 457,969 and 978,962

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Solution

The third proportional to 457,969 and 978,962 is: 2,092,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,969 : 978,962 = 978,962 : x
  2. Step 2: Convert to fraction form
    457,969/978,962 = 978,962/x
  3. Step 3: Cross multiply
    457,969x = 978,962 × 978,962
  4. Step 4: Simplify right side
    457,969x = 958,366,597,444
  5. Step 5: Solve for x
    x = 958,366,597,444/457,969
  6. Step 6: Final answer
    x = 2,092,645.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.