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Finding the Third Proportional to 540,057 and 1,166,757

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Solution

The third proportional to 540,057 and 1,166,757 is: 2,520,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,057 : 1,166,757 = 1,166,757 : x
  2. Step 2: Convert to fraction form
    540,057/1,166,757 = 1,166,757/x
  3. Step 3: Cross multiply
    540,057x = 1,166,757 × 1,166,757
  4. Step 4: Simplify right side
    540,057x = 1,361,321,897,049
  5. Step 5: Solve for x
    x = 1,361,321,897,049/540,057
  6. Step 6: Final answer
    x = 2,520,700.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.