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Finding the Third Proportional to 1,056,165.75 and 1,589,166

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Solution

The third proportional to 1,056,165.75 and 1,589,166 is: 2,391,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,165.75 : 1,589,166 = 1,589,166 : x
  2. Step 2: Convert to fraction form
    1,056,165.75/1,589,166 = 1,589,166/x
  3. Step 3: Cross multiply
    1,056,165.75x = 1,589,166 × 1,589,166
  4. Step 4: Simplify right side
    1,056,165.75x = 2,525,448,575,556
  5. Step 5: Solve for x
    x = 2,525,448,575,556/1,056,165.75
  6. Step 6: Final answer
    x = 2,391,147.96

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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.