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Finding the Third Proportional to 891,367 and 1,380,810

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Solution

The third proportional to 891,367 and 1,380,810 is: 2,139,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,367 : 1,380,810 = 1,380,810 : x
  2. Step 2: Convert to fraction form
    891,367/1,380,810 = 1,380,810/x
  3. Step 3: Cross multiply
    891,367x = 1,380,810 × 1,380,810
  4. Step 4: Simplify right side
    891,367x = 1,906,636,256,100
  5. Step 5: Solve for x
    x = 1,906,636,256,100/891,367
  6. Step 6: Final answer
    x = 2,139,002.52

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