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Finding the Third Proportional to 1,288,704.94 and 2,544,895.13

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Solution

The third proportional to 1,288,704.94 and 2,544,895.13 is: 5,025,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,704.94 : 2,544,895.13 = 2,544,895.13 : x
  2. Step 2: Convert to fraction form
    1,288,704.94/2,544,895.13 = 2,544,895.13/x
  3. Step 3: Cross multiply
    1,288,704.94x = 2,544,895.13 × 2,544,895.13
  4. Step 4: Simplify right side
    1,288,704.94x = 6,476,491,197,248.77
  5. Step 5: Solve for x
    x = 6,476,491,197,248.77/1,288,704.94
  6. Step 6: Final answer
    x = 5,025,581.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.