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Finding the Third Proportional to 526,456 and 847,824

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Solution

The third proportional to 526,456 and 847,824 is: 1,365,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,456 : 847,824 = 847,824 : x
  2. Step 2: Convert to fraction form
    526,456/847,824 = 847,824/x
  3. Step 3: Cross multiply
    526,456x = 847,824 × 847,824
  4. Step 4: Simplify right side
    526,456x = 718,805,534,976
  5. Step 5: Solve for x
    x = 718,805,534,976/526,456
  6. Step 6: Final answer
    x = 1,365,366.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.