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Finding the Third Proportional to 628,500 and 1,366,284

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Solution

The third proportional to 628,500 and 1,366,284 is: 2,970,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,500 : 1,366,284 = 1,366,284 : x
  2. Step 2: Convert to fraction form
    628,500/1,366,284 = 1,366,284/x
  3. Step 3: Cross multiply
    628,500x = 1,366,284 × 1,366,284
  4. Step 4: Simplify right side
    628,500x = 1,866,731,968,656
  5. Step 5: Solve for x
    x = 1,866,731,968,656/628,500
  6. Step 6: Final answer
    x = 2,970,138.37

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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.