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Finding the Third Proportional to 527,282 and 1,244,198

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Solution

The third proportional to 527,282 and 1,244,198 is: 2,935,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,282 : 1,244,198 = 1,244,198 : x
  2. Step 2: Convert to fraction form
    527,282/1,244,198 = 1,244,198/x
  3. Step 3: Cross multiply
    527,282x = 1,244,198 × 1,244,198
  4. Step 4: Simplify right side
    527,282x = 1,548,028,663,204
  5. Step 5: Solve for x
    x = 1,548,028,663,204/527,282
  6. Step 6: Final answer
    x = 2,935,864.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.