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Finding the Third Proportional to 892,782 and 1,276,170

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Solution

The third proportional to 892,782 and 1,276,170 is: 1,824,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,782 : 1,276,170 = 1,276,170 : x
  2. Step 2: Convert to fraction form
    892,782/1,276,170 = 1,276,170/x
  3. Step 3: Cross multiply
    892,782x = 1,276,170 × 1,276,170
  4. Step 4: Simplify right side
    892,782x = 1,628,609,868,900
  5. Step 5: Solve for x
    x = 1,628,609,868,900/892,782
  6. Step 6: Final answer
    x = 1,824,196.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.