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Finding the Third Proportional to 518,957 and 1,123,208

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Solution

The third proportional to 518,957 and 1,123,208 is: 2,431,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,957 : 1,123,208 = 1,123,208 : x
  2. Step 2: Convert to fraction form
    518,957/1,123,208 = 1,123,208/x
  3. Step 3: Cross multiply
    518,957x = 1,123,208 × 1,123,208
  4. Step 4: Simplify right side
    518,957x = 1,261,596,211,264
  5. Step 5: Solve for x
    x = 1,261,596,211,264/518,957
  6. Step 6: Final answer
    x = 2,431,022.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.