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Finding the Third Proportional to 1,179,418.50 and 1,767,277.50

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Solution

The third proportional to 1,179,418.50 and 1,767,277.50 is: 2,648,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,418.50 : 1,767,277.50 = 1,767,277.50 : x
  2. Step 2: Convert to fraction form
    1,179,418.50/1,767,277.50 = 1,767,277.50/x
  3. Step 3: Cross multiply
    1,179,418.50x = 1,767,277.50 × 1,767,277.50
  4. Step 4: Simplify right side
    1,179,418.50x = 3,123,269,762,006.25
  5. Step 5: Solve for x
    x = 3,123,269,762,006.25/1,179,418.50
  6. Step 6: Final answer
    x = 2,648,143.78

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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.