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Finding the Third Proportional to 683,033 and 1,097,450

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Solution

The third proportional to 683,033 and 1,097,450 is: 1,763,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,033 : 1,097,450 = 1,097,450 : x
  2. Step 2: Convert to fraction form
    683,033/1,097,450 = 1,097,450/x
  3. Step 3: Cross multiply
    683,033x = 1,097,450 × 1,097,450
  4. Step 4: Simplify right side
    683,033x = 1,204,396,502,500
  5. Step 5: Solve for x
    x = 1,204,396,502,500/683,033
  6. Step 6: Final answer
    x = 1,763,306.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.