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Finding the Third Proportional to 826,754.34 and 1,240,131.52

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Solution

The third proportional to 826,754.34 and 1,240,131.52 is: 1,860,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,754.34 : 1,240,131.52 = 1,240,131.52 : x
  2. Step 2: Convert to fraction form
    826,754.34/1,240,131.52 = 1,240,131.52/x
  3. Step 3: Cross multiply
    826,754.34x = 1,240,131.52 × 1,240,131.52
  4. Step 4: Simplify right side
    826,754.34x = 1,537,926,176,046.36
  5. Step 5: Solve for x
    x = 1,537,926,176,046.36/826,754.34
  6. Step 6: Final answer
    x = 1,860,197.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.