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Finding the Third Proportional to 1,096,449.75 and 1,644,674.63

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Solution

The third proportional to 1,096,449.75 and 1,644,674.63 is: 2,467,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,449.75 : 1,644,674.63 = 1,644,674.63 : x
  2. Step 2: Convert to fraction form
    1,096,449.75/1,644,674.63 = 1,644,674.63/x
  3. Step 3: Cross multiply
    1,096,449.75x = 1,644,674.63 × 1,644,674.63
  4. Step 4: Simplify right side
    1,096,449.75x = 2,704,954,622,118.89
  5. Step 5: Solve for x
    x = 2,704,954,622,118.89/1,096,449.75
  6. Step 6: Final answer
    x = 2,467,011.94

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Why These Related Problems?

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