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Finding the Third Proportional to 527,364 and 1,092,096

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Solution

The third proportional to 527,364 and 1,092,096 is: 2,261,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,364 : 1,092,096 = 1,092,096 : x
  2. Step 2: Convert to fraction form
    527,364/1,092,096 = 1,092,096/x
  3. Step 3: Cross multiply
    527,364x = 1,092,096 × 1,092,096
  4. Step 4: Simplify right side
    527,364x = 1,192,673,673,216
  5. Step 5: Solve for x
    x = 1,192,673,673,216/527,364
  6. Step 6: Final answer
    x = 2,261,575.82

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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.