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Finding the Third Proportional to 627,453.29 and 1,359,222.64

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Solution

The third proportional to 627,453.29 and 1,359,222.64 is: 2,944,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,453.29 : 1,359,222.64 = 1,359,222.64 : x
  2. Step 2: Convert to fraction form
    627,453.29/1,359,222.64 = 1,359,222.64/x
  3. Step 3: Cross multiply
    627,453.29x = 1,359,222.64 × 1,359,222.64
  4. Step 4: Simplify right side
    627,453.29x = 1,847,486,173,513.97
  5. Step 5: Solve for x
    x = 1,847,486,173,513.97/627,453.29
  6. Step 6: Final answer
    x = 2,944,420.25

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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.