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Finding the Third Proportional to 811,274.48 and 1,731,134.37

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Solution

The third proportional to 811,274.48 and 1,731,134.37 is: 3,693,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,274.48 : 1,731,134.37 = 1,731,134.37 : x
  2. Step 2: Convert to fraction form
    811,274.48/1,731,134.37 = 1,731,134.37/x
  3. Step 3: Cross multiply
    811,274.48x = 1,731,134.37 × 1,731,134.37
  4. Step 4: Simplify right side
    811,274.48x = 2,996,826,217,544.48
  5. Step 5: Solve for x
    x = 2,996,826,217,544.48/811,274.48
  6. Step 6: Final answer
    x = 3,693,973.22

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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.