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Finding the Third Proportional to 639,074 and 978,003

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Solution

The third proportional to 639,074 and 978,003 is: 1,496,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,074 : 978,003 = 978,003 : x
  2. Step 2: Convert to fraction form
    639,074/978,003 = 978,003/x
  3. Step 3: Cross multiply
    639,074x = 978,003 × 978,003
  4. Step 4: Simplify right side
    639,074x = 956,489,868,009
  5. Step 5: Solve for x
    x = 956,489,868,009/639,074
  6. Step 6: Final answer
    x = 1,496,680.93

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