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Finding the Third Proportional to 999,143 and 1,523,744

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Solution

The third proportional to 999,143 and 1,523,744 is: 2,323,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,143 : 1,523,744 = 1,523,744 : x
  2. Step 2: Convert to fraction form
    999,143/1,523,744 = 1,523,744/x
  3. Step 3: Cross multiply
    999,143x = 1,523,744 × 1,523,744
  4. Step 4: Simplify right side
    999,143x = 2,321,795,777,536
  5. Step 5: Solve for x
    x = 2,321,795,777,536/999,143
  6. Step 6: Final answer
    x = 2,323,787.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.