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Finding the Third Proportional to 527,354 and 1,092,093

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Solution

The third proportional to 527,354 and 1,092,093 is: 2,261,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,354 : 1,092,093 = 1,092,093 : x
  2. Step 2: Convert to fraction form
    527,354/1,092,093 = 1,092,093/x
  3. Step 3: Cross multiply
    527,354x = 1,092,093 × 1,092,093
  4. Step 4: Simplify right side
    527,354x = 1,192,667,120,649
  5. Step 5: Solve for x
    x = 1,192,667,120,649/527,354
  6. Step 6: Final answer
    x = 2,261,606.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.