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Finding the Third Proportional to 1,524,824 and 2,236,297

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Solution

The third proportional to 1,524,824 and 2,236,297 is: 3,279,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,824 : 2,236,297 = 2,236,297 : x
  2. Step 2: Convert to fraction form
    1,524,824/2,236,297 = 2,236,297/x
  3. Step 3: Cross multiply
    1,524,824x = 2,236,297 × 2,236,297
  4. Step 4: Simplify right side
    1,524,824x = 5,001,024,272,209
  5. Step 5: Solve for x
    x = 5,001,024,272,209/1,524,824
  6. Step 6: Final answer
    x = 3,279,738.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.