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Finding the Third Proportional to 1,209,915 and 2,633,198.25

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Solution

The third proportional to 1,209,915 and 2,633,198.25 is: 5,730,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,915 : 2,633,198.25 = 2,633,198.25 : x
  2. Step 2: Convert to fraction form
    1,209,915/2,633,198.25 = 2,633,198.25/x
  3. Step 3: Cross multiply
    1,209,915x = 2,633,198.25 × 2,633,198.25
  4. Step 4: Simplify right side
    1,209,915x = 6,933,733,023,803.06
  5. Step 5: Solve for x
    x = 6,933,733,023,803.06/1,209,915
  6. Step 6: Final answer
    x = 5,730,760.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.