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Finding the Third Proportional to 2,434,400 and 5,253,712

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Solution

The third proportional to 2,434,400 and 5,253,712 is: 11,338,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,400 : 5,253,712 = 5,253,712 : x
  2. Step 2: Convert to fraction form
    2,434,400/5,253,712 = 5,253,712/x
  3. Step 3: Cross multiply
    2,434,400x = 5,253,712 × 5,253,712
  4. Step 4: Simplify right side
    2,434,400x = 27,601,489,778,944
  5. Step 5: Solve for x
    x = 27,601,489,778,944/2,434,400
  6. Step 6: Final answer
    x = 11,338,107.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.