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Finding the Third Proportional to 785,725.31 and 1,715,382.56

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Solution

The third proportional to 785,725.31 and 1,715,382.56 is: 3,744,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,725.31 : 1,715,382.56 = 1,715,382.56 : x
  2. Step 2: Convert to fraction form
    785,725.31/1,715,382.56 = 1,715,382.56/x
  3. Step 3: Cross multiply
    785,725.31x = 1,715,382.56 × 1,715,382.56
  4. Step 4: Simplify right side
    785,725.31x = 2,942,537,335,729.07
  5. Step 5: Solve for x
    x = 2,942,537,335,729.07/785,725.31
  6. Step 6: Final answer
    x = 3,744,994.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.