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Finding the Third Proportional to 961,422 and 1,467,556.50

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Solution

The third proportional to 961,422 and 1,467,556.50 is: 2,240,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,422 : 1,467,556.50 = 1,467,556.50 : x
  2. Step 2: Convert to fraction form
    961,422/1,467,556.50 = 1,467,556.50/x
  3. Step 3: Cross multiply
    961,422x = 1,467,556.50 × 1,467,556.50
  4. Step 4: Simplify right side
    961,422x = 2,153,722,080,692.25
  5. Step 5: Solve for x
    x = 2,153,722,080,692.25/961,422
  6. Step 6: Final answer
    x = 2,240,142.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.