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Finding the Third Proportional to 2,181,919.50 and 4,629,807

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Solution

The third proportional to 2,181,919.50 and 4,629,807 is: 9,823,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,919.50 : 4,629,807 = 4,629,807 : x
  2. Step 2: Convert to fraction form
    2,181,919.50/4,629,807 = 4,629,807/x
  3. Step 3: Cross multiply
    2,181,919.50x = 4,629,807 × 4,629,807
  4. Step 4: Simplify right side
    2,181,919.50x = 21,435,112,857,249
  5. Step 5: Solve for x
    x = 21,435,112,857,249/2,181,919.50
  6. Step 6: Final answer
    x = 9,823,970.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.