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Finding the Third Proportional to 764,086 and 1,034,026

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Solution

The third proportional to 764,086 and 1,034,026 is: 1,399,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,086 : 1,034,026 = 1,034,026 : x
  2. Step 2: Convert to fraction form
    764,086/1,034,026 = 1,034,026/x
  3. Step 3: Cross multiply
    764,086x = 1,034,026 × 1,034,026
  4. Step 4: Simplify right side
    764,086x = 1,069,209,768,676
  5. Step 5: Solve for x
    x = 1,069,209,768,676/764,086
  6. Step 6: Final answer
    x = 1,399,331.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.