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Finding the Third Proportional to 620,272 and 1,315,824

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Solution

The third proportional to 620,272 and 1,315,824 is: 2,791,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,272 : 1,315,824 = 1,315,824 : x
  2. Step 2: Convert to fraction form
    620,272/1,315,824 = 1,315,824/x
  3. Step 3: Cross multiply
    620,272x = 1,315,824 × 1,315,824
  4. Step 4: Simplify right side
    620,272x = 1,731,392,798,976
  5. Step 5: Solve for x
    x = 1,731,392,798,976/620,272
  6. Step 6: Final answer
    x = 2,791,344.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.