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Finding the Third Proportional to 733,525.88 and 1,589,139

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Solution

The third proportional to 733,525.88 and 1,589,139 is: 3,442,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,525.88 : 1,589,139 = 1,589,139 : x
  2. Step 2: Convert to fraction form
    733,525.88/1,589,139 = 1,589,139/x
  3. Step 3: Cross multiply
    733,525.88x = 1,589,139 × 1,589,139
  4. Step 4: Simplify right side
    733,525.88x = 2,525,362,761,321
  5. Step 5: Solve for x
    x = 2,525,362,761,321/733,525.88
  6. Step 6: Final answer
    x = 3,442,772.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.