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Finding the Third Proportional to 826,672.50 and 1,170,065.25

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Solution

The third proportional to 826,672.50 and 1,170,065.25 is: 1,656,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,672.50 : 1,170,065.25 = 1,170,065.25 : x
  2. Step 2: Convert to fraction form
    826,672.50/1,170,065.25 = 1,170,065.25/x
  3. Step 3: Cross multiply
    826,672.50x = 1,170,065.25 × 1,170,065.25
  4. Step 4: Simplify right side
    826,672.50x = 1,369,052,689,257.56
  5. Step 5: Solve for x
    x = 1,369,052,689,257.56/826,672.50
  6. Step 6: Final answer
    x = 1,656,100.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.