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Finding the Third Proportional to 525,458 and 1,092,852

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Solution

The third proportional to 525,458 and 1,092,852 is: 2,272,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,458 : 1,092,852 = 1,092,852 : x
  2. Step 2: Convert to fraction form
    525,458/1,092,852 = 1,092,852/x
  3. Step 3: Cross multiply
    525,458x = 1,092,852 × 1,092,852
  4. Step 4: Simplify right side
    525,458x = 1,194,325,493,904
  5. Step 5: Solve for x
    x = 1,194,325,493,904/525,458
  6. Step 6: Final answer
    x = 2,272,922.85

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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.