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Finding the Third Proportional to 744,073 and 1,614,991

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Solution

The third proportional to 744,073 and 1,614,991 is: 3,505,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,073 : 1,614,991 = 1,614,991 : x
  2. Step 2: Convert to fraction form
    744,073/1,614,991 = 1,614,991/x
  3. Step 3: Cross multiply
    744,073x = 1,614,991 × 1,614,991
  4. Step 4: Simplify right side
    744,073x = 2,608,195,930,081
  5. Step 5: Solve for x
    x = 2,608,195,930,081/744,073
  6. Step 6: Final answer
    x = 3,505,295.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.