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Finding the Third Proportional to 891,614 and 1,738,580

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Solution

The third proportional to 891,614 and 1,738,580 is: 3,390,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,614 : 1,738,580 = 1,738,580 : x
  2. Step 2: Convert to fraction form
    891,614/1,738,580 = 1,738,580/x
  3. Step 3: Cross multiply
    891,614x = 1,738,580 × 1,738,580
  4. Step 4: Simplify right side
    891,614x = 3,022,660,416,400
  5. Step 5: Solve for x
    x = 3,022,660,416,400/891,614
  6. Step 6: Final answer
    x = 3,390,099.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.