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Finding the Third Proportional to 733,970 and 1,033,563

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Solution

The third proportional to 733,970 and 1,033,563 is: 1,455,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,970 : 1,033,563 = 1,033,563 : x
  2. Step 2: Convert to fraction form
    733,970/1,033,563 = 1,033,563/x
  3. Step 3: Cross multiply
    733,970x = 1,033,563 × 1,033,563
  4. Step 4: Simplify right side
    733,970x = 1,068,252,474,969
  5. Step 5: Solve for x
    x = 1,068,252,474,969/733,970
  6. Step 6: Final answer
    x = 1,455,444.33

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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.