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Finding the Third Proportional to 525,456 and 1,092,850

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Solution

The third proportional to 525,456 and 1,092,850 is: 2,272,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,456 : 1,092,850 = 1,092,850 : x
  2. Step 2: Convert to fraction form
    525,456/1,092,850 = 1,092,850/x
  3. Step 3: Cross multiply
    525,456x = 1,092,850 × 1,092,850
  4. Step 4: Simplify right side
    525,456x = 1,194,321,122,500
  5. Step 5: Solve for x
    x = 1,194,321,122,500/525,456
  6. Step 6: Final answer
    x = 2,272,923.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.