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Finding the Third Proportional to 683,634 and 1,061,281

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Solution

The third proportional to 683,634 and 1,061,281 is: 1,647,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,634 : 1,061,281 = 1,061,281 : x
  2. Step 2: Convert to fraction form
    683,634/1,061,281 = 1,061,281/x
  3. Step 3: Cross multiply
    683,634x = 1,061,281 × 1,061,281
  4. Step 4: Simplify right side
    683,634x = 1,126,317,360,961
  5. Step 5: Solve for x
    x = 1,126,317,360,961/683,634
  6. Step 6: Final answer
    x = 1,647,544.39

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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.