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Finding the Third Proportional to 892,944 and 1,380,888

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Solution

The third proportional to 892,944 and 1,380,888 is: 2,135,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,944 : 1,380,888 = 1,380,888 : x
  2. Step 2: Convert to fraction form
    892,944/1,380,888 = 1,380,888/x
  3. Step 3: Cross multiply
    892,944x = 1,380,888 × 1,380,888
  4. Step 4: Simplify right side
    892,944x = 1,906,851,668,544
  5. Step 5: Solve for x
    x = 1,906,851,668,544/892,944
  6. Step 6: Final answer
    x = 2,135,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.