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Finding the Third Proportional to 722,256 and 1,537,821

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Solution

The third proportional to 722,256 and 1,537,821 is: 3,274,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,256 : 1,537,821 = 1,537,821 : x
  2. Step 2: Convert to fraction form
    722,256/1,537,821 = 1,537,821/x
  3. Step 3: Cross multiply
    722,256x = 1,537,821 × 1,537,821
  4. Step 4: Simplify right side
    722,256x = 2,364,893,428,041
  5. Step 5: Solve for x
    x = 2,364,893,428,041/722,256
  6. Step 6: Final answer
    x = 3,274,314.69

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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.