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Finding the Third Proportional to 733,902 and 1,033,509

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Solution

The third proportional to 733,902 and 1,033,509 is: 1,455,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,902 : 1,033,509 = 1,033,509 : x
  2. Step 2: Convert to fraction form
    733,902/1,033,509 = 1,033,509/x
  3. Step 3: Cross multiply
    733,902x = 1,033,509 × 1,033,509
  4. Step 4: Simplify right side
    733,902x = 1,068,140,853,081
  5. Step 5: Solve for x
    x = 1,068,140,853,081/733,902
  6. Step 6: Final answer
    x = 1,455,427.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.