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Finding the Third Proportional to 725,172 and 1,555,272

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Solution

The third proportional to 725,172 and 1,555,272 is: 3,335,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,172 : 1,555,272 = 1,555,272 : x
  2. Step 2: Convert to fraction form
    725,172/1,555,272 = 1,555,272/x
  3. Step 3: Cross multiply
    725,172x = 1,555,272 × 1,555,272
  4. Step 4: Simplify right side
    725,172x = 2,418,870,993,984
  5. Step 5: Solve for x
    x = 2,418,870,993,984/725,172
  6. Step 6: Final answer
    x = 3,335,582.45

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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.