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Finding the Third Proportional to 1,309,639.50 and 1,969,332.75

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Solution

The third proportional to 1,309,639.50 and 1,969,332.75 is: 2,961,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,639.50 : 1,969,332.75 = 1,969,332.75 : x
  2. Step 2: Convert to fraction form
    1,309,639.50/1,969,332.75 = 1,969,332.75/x
  3. Step 3: Cross multiply
    1,309,639.50x = 1,969,332.75 × 1,969,332.75
  4. Step 4: Simplify right side
    1,309,639.50x = 3,878,271,480,222.56
  5. Step 5: Solve for x
    x = 3,878,271,480,222.56/1,309,639.50
  6. Step 6: Final answer
    x = 2,961,327.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.