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Finding the Third Proportional to 592,497 and 1,274,910

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Solution

The third proportional to 592,497 and 1,274,910 is: 2,743,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,497 : 1,274,910 = 1,274,910 : x
  2. Step 2: Convert to fraction form
    592,497/1,274,910 = 1,274,910/x
  3. Step 3: Cross multiply
    592,497x = 1,274,910 × 1,274,910
  4. Step 4: Simplify right side
    592,497x = 1,625,395,508,100
  5. Step 5: Solve for x
    x = 1,625,395,508,100/592,497
  6. Step 6: Final answer
    x = 2,743,297.45

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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.