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Finding the Third Proportional to 2,268,778 and 3,403,168

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Solution

The third proportional to 2,268,778 and 3,403,168 is: 5,104,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268,778 : 3,403,168 = 3,403,168 : x
  2. Step 2: Convert to fraction form
    2,268,778/3,403,168 = 3,403,168/x
  3. Step 3: Cross multiply
    2,268,778x = 3,403,168 × 3,403,168
  4. Step 4: Simplify right side
    2,268,778x = 11,581,552,436,224
  5. Step 5: Solve for x
    x = 11,581,552,436,224/2,268,778
  6. Step 6: Final answer
    x = 5,104,753.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.