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Finding the Third Proportional to 725,481 and 1,569,159

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Solution

The third proportional to 725,481 and 1,569,159 is: 3,393,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,481 : 1,569,159 = 1,569,159 : x
  2. Step 2: Convert to fraction form
    725,481/1,569,159 = 1,569,159/x
  3. Step 3: Cross multiply
    725,481x = 1,569,159 × 1,569,159
  4. Step 4: Simplify right side
    725,481x = 2,462,259,967,281
  5. Step 5: Solve for x
    x = 2,462,259,967,281/725,481
  6. Step 6: Final answer
    x = 3,393,968.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.