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Finding the Third Proportional to 611,367 and 1,438,519

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Solution

The third proportional to 611,367 and 1,438,519 is: 3,384,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,367 : 1,438,519 = 1,438,519 : x
  2. Step 2: Convert to fraction form
    611,367/1,438,519 = 1,438,519/x
  3. Step 3: Cross multiply
    611,367x = 1,438,519 × 1,438,519
  4. Step 4: Simplify right side
    611,367x = 2,069,336,913,361
  5. Step 5: Solve for x
    x = 2,069,336,913,361/611,367
  6. Step 6: Final answer
    x = 3,384,770.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.