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Finding the Third Proportional to 639,080 and 978,012

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Solution

The third proportional to 639,080 and 978,012 is: 1,496,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,080 : 978,012 = 978,012 : x
  2. Step 2: Convert to fraction form
    639,080/978,012 = 978,012/x
  3. Step 3: Cross multiply
    639,080x = 978,012 × 978,012
  4. Step 4: Simplify right side
    639,080x = 956,507,472,144
  5. Step 5: Solve for x
    x = 956,507,472,144/639,080
  6. Step 6: Final answer
    x = 1,496,694.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.