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Finding the Third Proportional to 1,915,434 and 4,121,462.25

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Solution

The third proportional to 1,915,434 and 4,121,462.25 is: 8,868,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915,434 : 4,121,462.25 = 4,121,462.25 : x
  2. Step 2: Convert to fraction form
    1,915,434/4,121,462.25 = 4,121,462.25/x
  3. Step 3: Cross multiply
    1,915,434x = 4,121,462.25 × 4,121,462.25
  4. Step 4: Simplify right side
    1,915,434x = 16,986,451,078,175.06
  5. Step 5: Solve for x
    x = 16,986,451,078,175.06/1,915,434
  6. Step 6: Final answer
    x = 8,868,199.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.