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Finding the Third Proportional to 512,460 and 1,121,451

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Solution

The third proportional to 512,460 and 1,121,451 is: 2,454,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,460 : 1,121,451 = 1,121,451 : x
  2. Step 2: Convert to fraction form
    512,460/1,121,451 = 1,121,451/x
  3. Step 3: Cross multiply
    512,460x = 1,121,451 × 1,121,451
  4. Step 4: Simplify right side
    512,460x = 1,257,652,345,401
  5. Step 5: Solve for x
    x = 1,257,652,345,401/512,460
  6. Step 6: Final answer
    x = 2,454,147.34

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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.