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Finding the Third Proportional to 386,326.13 and 839,122.88

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Solution

The third proportional to 386,326.13 and 839,122.88 is: 1,822,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,326.13 : 839,122.88 = 839,122.88 : x
  2. Step 2: Convert to fraction form
    386,326.13/839,122.88 = 839,122.88/x
  3. Step 3: Cross multiply
    386,326.13x = 839,122.88 × 839,122.88
  4. Step 4: Simplify right side
    386,326.13x = 704,127,199,348.27
  5. Step 5: Solve for x
    x = 704,127,199,348.27/386,326.13
  6. Step 6: Final answer
    x = 1,822,623.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.