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Finding the Third Proportional to 764,002.13 and 1,033,899.19

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Solution

The third proportional to 764,002.13 and 1,033,899.19 is: 1,399,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,002.13 : 1,033,899.19 = 1,033,899.19 : x
  2. Step 2: Convert to fraction form
    764,002.13/1,033,899.19 = 1,033,899.19/x
  3. Step 3: Cross multiply
    764,002.13x = 1,033,899.19 × 1,033,899.19
  4. Step 4: Simplify right side
    764,002.13x = 1,068,947,529,913.16
  5. Step 5: Solve for x
    x = 1,068,947,529,913.16/764,002.13
  6. Step 6: Final answer
    x = 1,399,142.09

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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.