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Finding the Third Proportional to 725,952 and 1,121,544

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Solution

The third proportional to 725,952 and 1,121,544 is: 1,732,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,952 : 1,121,544 = 1,121,544 : x
  2. Step 2: Convert to fraction form
    725,952/1,121,544 = 1,121,544/x
  3. Step 3: Cross multiply
    725,952x = 1,121,544 × 1,121,544
  4. Step 4: Simplify right side
    725,952x = 1,257,860,943,936
  5. Step 5: Solve for x
    x = 1,257,860,943,936/725,952
  6. Step 6: Final answer
    x = 1,732,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.