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Finding the Third Proportional to 592,502 and 1,274,918

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Solution

The third proportional to 592,502 and 1,274,918 is: 2,743,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,502 : 1,274,918 = 1,274,918 : x
  2. Step 2: Convert to fraction form
    592,502/1,274,918 = 1,274,918/x
  3. Step 3: Cross multiply
    592,502x = 1,274,918 × 1,274,918
  4. Step 4: Simplify right side
    592,502x = 1,625,415,906,724
  5. Step 5: Solve for x
    x = 1,625,415,906,724/592,502
  6. Step 6: Final answer
    x = 2,743,308.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.