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Finding the Third Proportional to 722,250 and 1,537,809

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Solution

The third proportional to 722,250 and 1,537,809 is: 3,274,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,250 : 1,537,809 = 1,537,809 : x
  2. Step 2: Convert to fraction form
    722,250/1,537,809 = 1,537,809/x
  3. Step 3: Cross multiply
    722,250x = 1,537,809 × 1,537,809
  4. Step 4: Simplify right side
    722,250x = 2,364,856,520,481
  5. Step 5: Solve for x
    x = 2,364,856,520,481/722,250
  6. Step 6: Final answer
    x = 3,274,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.