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Finding the Third Proportional to 1,682,372.53 and 4,056,064.88

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Solution

The third proportional to 1,682,372.53 and 4,056,064.88 is: 9,778,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,372.53 : 4,056,064.88 = 4,056,064.88 : x
  2. Step 2: Convert to fraction form
    1,682,372.53/4,056,064.88 = 4,056,064.88/x
  3. Step 3: Cross multiply
    1,682,372.53x = 4,056,064.88 × 4,056,064.88
  4. Step 4: Simplify right side
    1,682,372.53x = 16,451,662,270,208.77
  5. Step 5: Solve for x
    x = 16,451,662,270,208.77/1,682,372.53
  6. Step 6: Final answer
    x = 9,778,846.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.