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Finding the Third Proportional to 725,113 and 1,555,148

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Solution

The third proportional to 725,113 and 1,555,148 is: 3,335,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,113 : 1,555,148 = 1,555,148 : x
  2. Step 2: Convert to fraction form
    725,113/1,555,148 = 1,555,148/x
  3. Step 3: Cross multiply
    725,113x = 1,555,148 × 1,555,148
  4. Step 4: Simplify right side
    725,113x = 2,418,485,301,904
  5. Step 5: Solve for x
    x = 2,418,485,301,904/725,113
  6. Step 6: Final answer
    x = 3,335,321.95

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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.