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Finding the Third Proportional to 733,902 and 1,122,732

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Solution

The third proportional to 733,902 and 1,122,732 is: 1,717,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,902 : 1,122,732 = 1,122,732 : x
  2. Step 2: Convert to fraction form
    733,902/1,122,732 = 1,122,732/x
  3. Step 3: Cross multiply
    733,902x = 1,122,732 × 1,122,732
  4. Step 4: Simplify right side
    733,902x = 1,260,527,143,824
  5. Step 5: Solve for x
    x = 1,260,527,143,824/733,902
  6. Step 6: Final answer
    x = 1,717,568.75

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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.