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Finding the Third Proportional to 683,022 and 1,026,738

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Solution

The third proportional to 683,022 and 1,026,738 is: 1,543,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,022 : 1,026,738 = 1,026,738 : x
  2. Step 2: Convert to fraction form
    683,022/1,026,738 = 1,026,738/x
  3. Step 3: Cross multiply
    683,022x = 1,026,738 × 1,026,738
  4. Step 4: Simplify right side
    683,022x = 1,054,190,920,644
  5. Step 5: Solve for x
    x = 1,054,190,920,644/683,022
  6. Step 6: Final answer
    x = 1,543,421.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.