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Finding the Third Proportional to 527,100 and 1,134,252

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Solution

The third proportional to 527,100 and 1,134,252 is: 2,440,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,100 : 1,134,252 = 1,134,252 : x
  2. Step 2: Convert to fraction form
    527,100/1,134,252 = 1,134,252/x
  3. Step 3: Cross multiply
    527,100x = 1,134,252 × 1,134,252
  4. Step 4: Simplify right side
    527,100x = 1,286,527,599,504
  5. Step 5: Solve for x
    x = 1,286,527,599,504/527,100
  6. Step 6: Final answer
    x = 2,440,765.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.