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Finding the Third Proportional to 525,057 and 1,122,086

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Solution

The third proportional to 525,057 and 1,122,086 is: 2,397,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,057 : 1,122,086 = 1,122,086 : x
  2. Step 2: Convert to fraction form
    525,057/1,122,086 = 1,122,086/x
  3. Step 3: Cross multiply
    525,057x = 1,122,086 × 1,122,086
  4. Step 4: Simplify right side
    525,057x = 1,259,076,991,396
  5. Step 5: Solve for x
    x = 1,259,076,991,396/525,057
  6. Step 6: Final answer
    x = 2,397,981.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.