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Finding the Third Proportional to 725,733 and 1,537,990

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Solution

The third proportional to 725,733 and 1,537,990 is: 3,259,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,733 : 1,537,990 = 1,537,990 : x
  2. Step 2: Convert to fraction form
    725,733/1,537,990 = 1,537,990/x
  3. Step 3: Cross multiply
    725,733x = 1,537,990 × 1,537,990
  4. Step 4: Simplify right side
    725,733x = 2,365,413,240,100
  5. Step 5: Solve for x
    x = 2,365,413,240,100/725,733
  6. Step 6: Final answer
    x = 3,259,343.64

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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.