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Finding the Third Proportional to 880,164 and 1,322,193

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Solution

The third proportional to 880,164 and 1,322,193 is: 1,986,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,164 : 1,322,193 = 1,322,193 : x
  2. Step 2: Convert to fraction form
    880,164/1,322,193 = 1,322,193/x
  3. Step 3: Cross multiply
    880,164x = 1,322,193 × 1,322,193
  4. Step 4: Simplify right side
    880,164x = 1,748,194,329,249
  5. Step 5: Solve for x
    x = 1,748,194,329,249/880,164
  6. Step 6: Final answer
    x = 1,986,214.31

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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.