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Finding the Third Proportional to 1,770,472.69 and 2,734,165.13

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Solution

The third proportional to 1,770,472.69 and 2,734,165.13 is: 4,222,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,472.69 : 2,734,165.13 = 2,734,165.13 : x
  2. Step 2: Convert to fraction form
    1,770,472.69/2,734,165.13 = 2,734,165.13/x
  3. Step 3: Cross multiply
    1,770,472.69x = 2,734,165.13 × 2,734,165.13
  4. Step 4: Simplify right side
    1,770,472.69x = 7,475,658,930,766.27
  5. Step 5: Solve for x
    x = 7,475,658,930,766.27/1,770,472.69
  6. Step 6: Final answer
    x = 4,222,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.