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Finding the Third Proportional to 527,720 and 1,244,512

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Solution

The third proportional to 527,720 and 1,244,512 is: 2,934,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,720 : 1,244,512 = 1,244,512 : x
  2. Step 2: Convert to fraction form
    527,720/1,244,512 = 1,244,512/x
  3. Step 3: Cross multiply
    527,720x = 1,244,512 × 1,244,512
  4. Step 4: Simplify right side
    527,720x = 1,548,810,118,144
  5. Step 5: Solve for x
    x = 1,548,810,118,144/527,720
  6. Step 6: Final answer
    x = 2,934,908.89

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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.