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Finding the Third Proportional to 725,370 and 1,567,524

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Solution

The third proportional to 725,370 and 1,567,524 is: 3,387,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,370 : 1,567,524 = 1,567,524 : x
  2. Step 2: Convert to fraction form
    725,370/1,567,524 = 1,567,524/x
  3. Step 3: Cross multiply
    725,370x = 1,567,524 × 1,567,524
  4. Step 4: Simplify right side
    725,370x = 2,457,131,490,576
  5. Step 5: Solve for x
    x = 2,457,131,490,576/725,370
  6. Step 6: Final answer
    x = 3,387,418.13

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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.