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Finding the Third Proportional to 627,548 and 1,288,468

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Solution

The third proportional to 627,548 and 1,288,468 is: 2,645,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,548 : 1,288,468 = 1,288,468 : x
  2. Step 2: Convert to fraction form
    627,548/1,288,468 = 1,288,468/x
  3. Step 3: Cross multiply
    627,548x = 1,288,468 × 1,288,468
  4. Step 4: Simplify right side
    627,548x = 1,660,149,787,024
  5. Step 5: Solve for x
    x = 1,660,149,787,024/627,548
  6. Step 6: Final answer
    x = 2,645,454.67

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.