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Finding the Third Proportional to 428,687.44 and 914,312.81

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Solution

The third proportional to 428,687.44 and 914,312.81 is: 1,950,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,687.44 : 914,312.81 = 914,312.81 : x
  2. Step 2: Convert to fraction form
    428,687.44/914,312.81 = 914,312.81/x
  3. Step 3: Cross multiply
    428,687.44x = 914,312.81 × 914,312.81
  4. Step 4: Simplify right side
    428,687.44x = 835,967,919,101.66
  5. Step 5: Solve for x
    x = 835,967,919,101.66/428,687.44
  6. Step 6: Final answer
    x = 1,950,063.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.