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Finding the Third Proportional to 886,843.69 and 1,352,408.91

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Solution

The third proportional to 886,843.69 and 1,352,408.91 is: 2,062,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,843.69 : 1,352,408.91 = 1,352,408.91 : x
  2. Step 2: Convert to fraction form
    886,843.69/1,352,408.91 = 1,352,408.91/x
  3. Step 3: Cross multiply
    886,843.69x = 1,352,408.91 × 1,352,408.91
  4. Step 4: Simplify right side
    886,843.69x = 1,829,009,849,704.32
  5. Step 5: Solve for x
    x = 1,829,009,849,704.32/886,843.69
  6. Step 6: Final answer
    x = 2,062,381.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.