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Finding the Third Proportional to 683,834 and 1,582,951

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Solution

The third proportional to 683,834 and 1,582,951 is: 3,664,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,834 : 1,582,951 = 1,582,951 : x
  2. Step 2: Convert to fraction form
    683,834/1,582,951 = 1,582,951/x
  3. Step 3: Cross multiply
    683,834x = 1,582,951 × 1,582,951
  4. Step 4: Simplify right side
    683,834x = 2,505,733,868,401
  5. Step 5: Solve for x
    x = 2,505,733,868,401/683,834
  6. Step 6: Final answer
    x = 3,664,242.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.