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Finding the Third Proportional to 516,327 and 1,124,517

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Solution

The third proportional to 516,327 and 1,124,517 is: 2,449,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,327 : 1,124,517 = 1,124,517 : x
  2. Step 2: Convert to fraction form
    516,327/1,124,517 = 1,124,517/x
  3. Step 3: Cross multiply
    516,327x = 1,124,517 × 1,124,517
  4. Step 4: Simplify right side
    516,327x = 1,264,538,483,289
  5. Step 5: Solve for x
    x = 1,264,538,483,289/516,327
  6. Step 6: Final answer
    x = 2,449,103.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.