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Finding the Third Proportional to 683,632 and 1,061,278

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Solution

The third proportional to 683,632 and 1,061,278 is: 1,647,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,632 : 1,061,278 = 1,061,278 : x
  2. Step 2: Convert to fraction form
    683,632/1,061,278 = 1,061,278/x
  3. Step 3: Cross multiply
    683,632x = 1,061,278 × 1,061,278
  4. Step 4: Simplify right side
    683,632x = 1,126,310,993,284
  5. Step 5: Solve for x
    x = 1,126,310,993,284/683,632
  6. Step 6: Final answer
    x = 1,647,539.89

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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.