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Finding the Third Proportional to 627,546 and 1,288,464

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Solution

The third proportional to 627,546 and 1,288,464 is: 2,645,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,546 : 1,288,464 = 1,288,464 : x
  2. Step 2: Convert to fraction form
    627,546/1,288,464 = 1,288,464/x
  3. Step 3: Cross multiply
    627,546x = 1,288,464 × 1,288,464
  4. Step 4: Simplify right side
    627,546x = 1,660,139,479,296
  5. Step 5: Solve for x
    x = 1,660,139,479,296/627,546
  6. Step 6: Final answer
    x = 2,645,446.68

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Why These Related Problems?

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