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Finding the Third Proportional to 632,049 and 1,382,343

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Solution

The third proportional to 632,049 and 1,382,343 is: 3,023,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,049 : 1,382,343 = 1,382,343 : x
  2. Step 2: Convert to fraction form
    632,049/1,382,343 = 1,382,343/x
  3. Step 3: Cross multiply
    632,049x = 1,382,343 × 1,382,343
  4. Step 4: Simplify right side
    632,049x = 1,910,872,169,649
  5. Step 5: Solve for x
    x = 1,910,872,169,649/632,049
  6. Step 6: Final answer
    x = 3,023,297.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.