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Finding the Third Proportional to 733,986 and 1,072,659

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Solution

The third proportional to 733,986 and 1,072,659 is: 1,567,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,986 : 1,072,659 = 1,072,659 : x
  2. Step 2: Convert to fraction form
    733,986/1,072,659 = 1,072,659/x
  3. Step 3: Cross multiply
    733,986x = 1,072,659 × 1,072,659
  4. Step 4: Simplify right side
    733,986x = 1,150,597,330,281
  5. Step 5: Solve for x
    x = 1,150,597,330,281/733,986
  6. Step 6: Final answer
    x = 1,567,601.19

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Why These Related Problems?

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