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Finding the Third Proportional to 892,441 and 1,301,278

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Solution

The third proportional to 892,441 and 1,301,278 is: 1,897,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,441 : 1,301,278 = 1,301,278 : x
  2. Step 2: Convert to fraction form
    892,441/1,301,278 = 1,301,278/x
  3. Step 3: Cross multiply
    892,441x = 1,301,278 × 1,301,278
  4. Step 4: Simplify right side
    892,441x = 1,693,324,433,284
  5. Step 5: Solve for x
    x = 1,693,324,433,284/892,441
  6. Step 6: Final answer
    x = 1,897,407.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.