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Finding the Third Proportional to 703,896 and 1,540,824

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Solution

The third proportional to 703,896 and 1,540,824 is: 3,372,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,896 : 1,540,824 = 1,540,824 : x
  2. Step 2: Convert to fraction form
    703,896/1,540,824 = 1,540,824/x
  3. Step 3: Cross multiply
    703,896x = 1,540,824 × 1,540,824
  4. Step 4: Simplify right side
    703,896x = 2,374,138,598,976
  5. Step 5: Solve for x
    x = 2,374,138,598,976/703,896
  6. Step 6: Final answer
    x = 3,372,854.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.