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Finding the Third Proportional to 518,194 and 1,124,908

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Solution

The third proportional to 518,194 and 1,124,908 is: 2,441,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,194 : 1,124,908 = 1,124,908 : x
  2. Step 2: Convert to fraction form
    518,194/1,124,908 = 1,124,908/x
  3. Step 3: Cross multiply
    518,194x = 1,124,908 × 1,124,908
  4. Step 4: Simplify right side
    518,194x = 1,265,418,008,464
  5. Step 5: Solve for x
    x = 1,265,418,008,464/518,194
  6. Step 6: Final answer
    x = 2,441,977.35

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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.