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Finding the Third Proportional to 757,904 and 1,620,824

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Solution

The third proportional to 757,904 and 1,620,824 is: 3,466,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,904 : 1,620,824 = 1,620,824 : x
  2. Step 2: Convert to fraction form
    757,904/1,620,824 = 1,620,824/x
  3. Step 3: Cross multiply
    757,904x = 1,620,824 × 1,620,824
  4. Step 4: Simplify right side
    757,904x = 2,627,070,438,976
  5. Step 5: Solve for x
    x = 2,627,070,438,976/757,904
  6. Step 6: Final answer
    x = 3,466,231.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.