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Finding the Third Proportional to 1,965,453.75 and 4,167,103.50

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Solution

The third proportional to 1,965,453.75 and 4,167,103.50 is: 8,834,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,453.75 : 4,167,103.50 = 4,167,103.50 : x
  2. Step 2: Convert to fraction form
    1,965,453.75/4,167,103.50 = 4,167,103.50/x
  3. Step 3: Cross multiply
    1,965,453.75x = 4,167,103.50 × 4,167,103.50
  4. Step 4: Simplify right side
    1,965,453.75x = 17,364,751,579,712.25
  5. Step 5: Solve for x
    x = 17,364,751,579,712.25/1,965,453.75
  6. Step 6: Final answer
    x = 8,834,983.57

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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.