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Finding the Third Proportional to 683,636 and 1,061,284

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Solution

The third proportional to 683,636 and 1,061,284 is: 1,647,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,636 : 1,061,284 = 1,061,284 : x
  2. Step 2: Convert to fraction form
    683,636/1,061,284 = 1,061,284/x
  3. Step 3: Cross multiply
    683,636x = 1,061,284 × 1,061,284
  4. Step 4: Simplify right side
    683,636x = 1,126,323,728,656
  5. Step 5: Solve for x
    x = 1,126,323,728,656/683,636
  6. Step 6: Final answer
    x = 1,647,548.88

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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.