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Finding the Third Proportional to 517,694.63 and 1,107,357.75

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Solution

The third proportional to 517,694.63 and 1,107,357.75 is: 2,368,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,694.63 : 1,107,357.75 = 1,107,357.75 : x
  2. Step 2: Convert to fraction form
    517,694.63/1,107,357.75 = 1,107,357.75/x
  3. Step 3: Cross multiply
    517,694.63x = 1,107,357.75 × 1,107,357.75
  4. Step 4: Simplify right side
    517,694.63x = 1,226,241,186,485.06
  5. Step 5: Solve for x
    x = 1,226,241,186,485.06/517,694.63
  6. Step 6: Final answer
    x = 2,368,657.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.