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Finding the Third Proportional to 733,988 and 1,072,662

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Solution

The third proportional to 733,988 and 1,072,662 is: 1,567,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,988 : 1,072,662 = 1,072,662 : x
  2. Step 2: Convert to fraction form
    733,988/1,072,662 = 1,072,662/x
  3. Step 3: Cross multiply
    733,988x = 1,072,662 × 1,072,662
  4. Step 4: Simplify right side
    733,988x = 1,150,603,766,244
  5. Step 5: Solve for x
    x = 1,150,603,766,244/733,988
  6. Step 6: Final answer
    x = 1,567,605.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.