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Finding the Third Proportional to 639,424.13 and 1,399,064.91

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Solution

The third proportional to 639,424.13 and 1,399,064.91 is: 3,061,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,424.13 : 1,399,064.91 = 1,399,064.91 : x
  2. Step 2: Convert to fraction form
    639,424.13/1,399,064.91 = 1,399,064.91/x
  3. Step 3: Cross multiply
    639,424.13x = 1,399,064.91 × 1,399,064.91
  4. Step 4: Simplify right side
    639,424.13x = 1,957,382,611,900.32
  5. Step 5: Solve for x
    x = 1,957,382,611,900.32/639,424.13
  6. Step 6: Final answer
    x = 3,061,164.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.