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Finding the Third Proportional to 524,256 and 1,137,288

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Solution

The third proportional to 524,256 and 1,137,288 is: 2,467,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,256 : 1,137,288 = 1,137,288 : x
  2. Step 2: Convert to fraction form
    524,256/1,137,288 = 1,137,288/x
  3. Step 3: Cross multiply
    524,256x = 1,137,288 × 1,137,288
  4. Step 4: Simplify right side
    524,256x = 1,293,423,994,944
  5. Step 5: Solve for x
    x = 1,293,423,994,944/524,256
  6. Step 6: Final answer
    x = 2,467,161.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.