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Finding the Third Proportional to 512,567 and 1,123,859

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Solution

The third proportional to 512,567 and 1,123,859 is: 2,464,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,567 : 1,123,859 = 1,123,859 : x
  2. Step 2: Convert to fraction form
    512,567/1,123,859 = 1,123,859/x
  3. Step 3: Cross multiply
    512,567x = 1,123,859 × 1,123,859
  4. Step 4: Simplify right side
    512,567x = 1,263,059,051,881
  5. Step 5: Solve for x
    x = 1,263,059,051,881/512,567
  6. Step 6: Final answer
    x = 2,464,183.32

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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.