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Finding the Third Proportional to 810,758 and 1,271,814

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Solution

The third proportional to 810,758 and 1,271,814 is: 1,995,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,758 : 1,271,814 = 1,271,814 : x
  2. Step 2: Convert to fraction form
    810,758/1,271,814 = 1,271,814/x
  3. Step 3: Cross multiply
    810,758x = 1,271,814 × 1,271,814
  4. Step 4: Simplify right side
    810,758x = 1,617,510,850,596
  5. Step 5: Solve for x
    x = 1,617,510,850,596/810,758
  6. Step 6: Final answer
    x = 1,995,059.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.