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Finding the Third Proportional to 523,652 and 819,174

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Solution

The third proportional to 523,652 and 819,174 is: 1,281,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,652 : 819,174 = 819,174 : x
  2. Step 2: Convert to fraction form
    523,652/819,174 = 819,174/x
  3. Step 3: Cross multiply
    523,652x = 819,174 × 819,174
  4. Step 4: Simplify right side
    523,652x = 671,046,042,276
  5. Step 5: Solve for x
    x = 671,046,042,276/523,652
  6. Step 6: Final answer
    x = 1,281,473.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.