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Finding the Third Proportional to 527,108 and 1,134,264

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Solution

The third proportional to 527,108 and 1,134,264 is: 2,440,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,108 : 1,134,264 = 1,134,264 : x
  2. Step 2: Convert to fraction form
    527,108/1,134,264 = 1,134,264/x
  3. Step 3: Cross multiply
    527,108x = 1,134,264 × 1,134,264
  4. Step 4: Simplify right side
    527,108x = 1,286,554,821,696
  5. Step 5: Solve for x
    x = 1,286,554,821,696/527,108
  6. Step 6: Final answer
    x = 2,440,780.30

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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.